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210232310210320 = 245178911681148693
BaseRepresentation
bin101111110011010010000110…
…001010111001111100010000
31000120101000100011111202001111
4233303102012022321330100
5210023421232403212240
62023043220124343104
762165532426123046
oct5763220612717420
91016330304452044
10210232310210320
1160a94027406822
121b6b451b3a4a94
13903ca8b609cc8
1439cb426008396
151948958cbc1ea
hexbf34862b9f10

210232310210320 has 160 divisors (see below), whose sum is σ = 523405889566560. Its totient is φ = 78249771663360.

The previous prime is 210232310210317. The next prime is 210232310210347. The reversal of 210232310210320 is 23012013232012.

210232310210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 115752121721856 + 94480188488464 = 10758816^2 + 9720092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210232310210291 and 210232310210300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1413793894 + ... + 1413942586.

It is an arithmetic number, because the mean of its divisors is an integer number (3271286809791).

Almost surely, 2210232310210320 is an apocalyptic number.

210232310210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210232310210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261702944783280).

210232310210320 is an abundant number, since it is smaller than the sum of its proper divisors (313173579356240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210232310210320 is a wasteful number, since it uses less digits than its factorization.

210232310210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160493 (or 160487 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 210232310210320 its reverse (23012013232012), we get a palindrome (233244323442332).

The spelling of 210232310210320 in words is "two hundred ten trillion, two hundred thirty-two billion, three hundred ten million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 272 340 356 445 680 712 890 1360 1424 1513 1780 3026 3560 6052 7120 7565 11681 12104 15130 23362 24208 30260 46724 58405 60520 93448 116810 121040 148693 186896 198577 233620 297386 397154 467240 594772 743465 794308 934480 992885 1039609 1189544 1486930 1588616 1985770 2079218 2379088 2527781 2973860 3177232 3971540 4158436 5055562 5198045 5947720 7943080 8316872 10111124 10396090 11895440 12638905 13233677 15886160 16633744 17673353 20222248 20792180 25277810 26467354 35346706 40444496 41584360 50555620 52934708 66168385 70693412 83168720 88366765 101111240 105869416 132336770 141386824 176733530 202222480 211738832 224972509 264673540 282773648 353467060 449945018 529347080 706934120 899890036 1058694160 1124862545 1413868240 1736882933 1799780072 2249725090 3473765866 3599560144 4499450180 6947531732 8684414665 8998900360 13895063464 17368829330 17997800720 27790126928 29527009861 34737658660 59054019722 69475317320 118108039444 138950634640 147635049305 154582581037 236216078888 295270098610 309165162074 472432157776 590540197220 618330324148 772912905185 1181080394440 1236660648296 1545825810370 2362160788880 2473321296592 2627903877629 3091651620740 5255807755258 6183303241480 10511615510516 12366606482960 13139519388145 21023231021032 26279038776290 42046462042064 52558077552580 105116155105160 210232310210320