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10220321020 = 22572135913597
BaseRepresentation
bin10011000010010110…
…11011100011111100
3222101021100002202011
421201023123203330
5131412400233040
64410052541004
7511161203200
oct114113334374
928337302664
1010220321020
1143751174a8
121b92921764
13c6b53b040
146cd514b00
153ec3cd3ea
hex2612db8fc

10220321020 has 144 divisors (see below), whose sum is σ = 27345034080. Its totient is φ = 3179506176.

The previous prime is 10220320987. The next prime is 10220321051. The reversal of 10220321020 is 2012302201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744862 + ... + 758458.

It is an arithmetic number, because the mean of its divisors is an integer number (189896070).

Almost surely, 210220321020 is an apocalyptic number.

10220321020 is a gapful number since it is divisible by the number (10) 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 10220321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672517040).

10220321020 is an abundant number, since it is smaller than the sum of its proper divisors (17124713060).

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

10220321020 is a wasteful number, since it uses less digits than its factorization.

10220321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13692 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10220321020 its reverse (2012302201), we get a palindrome (12232623221).

The spelling of 10220321020 in words is "ten billion, two hundred twenty million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 59 65 70 91 98 118 130 140 182 196 236 245 260 295 364 413 455 490 590 637 767 826 910 980 1180 1274 1534 1652 1820 2065 2548 2891 3068 3185 3835 4130 5369 5782 6370 7670 8260 10738 11564 12740 13597 14455 15340 21476 26845 27194 28910 37583 53690 54388 57820 67985 75166 95179 107380 135970 150332 176761 187915 190358 271940 353522 375830 380716 475895 666253 707044 751660 802223 883805 951790 1237327 1332506 1604446 1767610 1903580 2474654 2665012 3208892 3331265 3535220 4011115 4949308 5615561 6186635 6662530 8022230 8661289 10428899 11231122 12373270 13325060 16044460 17322578 20857798 22462244 24746540 28077805 34645156 39308927 41715596 43306445 52144495 56155610 73002293 78617854 86612890 104288990 112311220 146004586 157235708 173225780 196544635 208577980 292009172 365011465 393089270 511016051 730022930 786178540 1022032102 1460045860 2044064204 2555080255 5110160510 10220321020