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20320210320 = 2435277337907
BaseRepresentation
bin10010111011001011…
…011100110110010000
31221110011001122020020
4102323023130312100
5313103433212240
613200204343440
71316360636454
oct227313346620
957404048206
1020320210320
118688257853
123b31244b80
131bbab307b7
14daaa3a664
157dde1d0d0
hex4bb2dcd90

20320210320 has 160 divisors (see below), whose sum is σ = 63477568128. Its totient is φ = 5377204224.

The previous prime is 20320210289. The next prime is 20320210343. The reversal of 20320210320 is 2301202302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20320210320.

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, 22403307 + ... + 22404213.

Almost surely, 220320210320 is an apocalyptic number.

20320210320 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 20320210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31738784064).

20320210320 is an abundant number, since it is smaller than the sum of its proper divisors (43157357808).

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

20320210320 is a wasteful number, since it uses less digits than its factorization.

20320210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20320210320 its reverse (2301202302), we get a palindrome (22621412622).

The spelling of 20320210320 in words is "twenty billion, three hundred twenty million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277 337 554 674 831 907 1011 1108 1348 1385 1662 1685 1814 2022 2216 2696 2721 2770 3324 3370 3628 4044 4155 4432 4535 5055 5392 5442 5540 6648 6740 7256 8088 8310 9070 10110 10884 11080 13296 13480 13605 14512 16176 16620 18140 20220 21768 22160 26960 27210 33240 36280 40440 43536 54420 66480 72560 80880 93349 108840 186698 217680 251239 280047 305659 373396 466745 502478 560094 611318 746792 753717 916977 933490 1004956 1120188 1222636 1256195 1400235 1493584 1507434 1528295 1833954 1866980 2009912 2240376 2445272 2512390 2800470 3014868 3056590 3667908 3733960 3768585 4019824 4480752 4584885 4890544 5024780 5600940 6029736 6113180 7335816 7467920 7537170 9169770 10049560 11201880 12059472 12226360 14671632 15074340 18339540 20099120 22403760 24452720 30148680 36679080 60297360 73358160 84667543 169335086 254002629 338670172 423337715 508005258 677340344 846675430 1016010516 1270013145 1354680688 1693350860 2032021032 2540026290 3386701720 4064042064 5080052580 6773403440 10160105160 20320210320