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102210011220020 = 22511797431179139
BaseRepresentation
bin10111001111010110011111…
…011010010100100000110100
3111101220011220102022201211212
4113033112133122110200310
5101344102100333020040
61001214344141020552
730346300234436564
oct2717263732244064
9441804812281755
10102210011220020
112a6270277a6a10
12b568b99b54758
134505493b148c2
141b34dc31c6da4
15bc3ab4a98d65
hex5cf59f694834

102210011220020 has 96 divisors (see below), whose sum is σ = 237124003737600. Its totient is φ = 36695847427200.

The previous prime is 102210011220017. The next prime is 102210011220071. The reversal of 102210011220020 is 20022110012201.

It is a super-2 number, since 2×1022100112200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210011219977 and 102210011220004.

It is a congruent number.

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, 1291485611 + ... + 1291564749.

It is an arithmetic number, because the mean of its divisors is an integer number (2470041705600).

Almost surely, 2102210011220020 is an apocalyptic number.

102210011220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210011220020 is an abundant number, since it is smaller than the sum of its proper divisors (134913992517580).

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

102210011220020 is a wasteful number, since it uses less digits than its factorization.

102210011220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153549 (or 153547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210011220020 its reverse (20022110012201), we get a palindrome (122232121232221).

The spelling of 102210011220020 in words is "one hundred two trillion, two hundred ten billion, eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 74311 79139 148622 158278 297244 316556 371555 395695 743110 791390 817421 870529 1486220 1582780 1634842 1741058 3269684 3482116 4087105 4352645 5870569 6251981 8174210 8705290 11741138 12503962 16348420 17410580 23482276 25007924 29352845 31259905 58705690 62519810 64576259 68771791 117411380 125039620 129152518 137543582 258305036 275087164 322881295 343858955 645762590 687717910 1291525180 1375435820 5880898229 11761796458 23523592916 29404491145 58808982290 64689880519 117617964580 129379761038 258759522076 323449402595 464590960091 646898805190 929181920182 1293797610380 1858363840364 2322954800455 4645909600910 5110500561001 9291819201820 10221001122002 20442002244004 25552502805005 51105005610010 102210011220020