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100020122202012 = 22379304134694659
BaseRepresentation
bin10110101111011110111111…
…110110101010111110011100
3111010010211102021210022011220
4112233132333312222332130
5101102212202240431022
6552420335415213340
730032133604061235
oct2657367766527634
9433124367708156
10100020122202012
11299623285113a1
12b2746a0677250
1343a6b1ac38b5c
141a9addd42808c
15b86b4612885c
hex5af7bfdaaf9c

100020122202012 has 48 divisors (see below), whose sum is σ = 236412188812800. Its totient is φ = 32907189219840.

The previous prime is 100020122201983. The next prime is 100020122202029. The reversal of 100020122202012 is 210202221020001.

It is a junction number, because it is equal to n+sod(n) for n = 100020122201982 and 100020122202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464462 + ... + 20230197.

It is an arithmetic number, because the mean of its divisors is an integer number (4925253933600).

Almost surely, 2100020122202012 is an apocalyptic number.

100020122202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020122202012 is an abundant number, since it is smaller than the sum of its proper divisors (136392066610788).

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

100020122202012 is a wasteful number, since it uses less digits than its factorization.

100020122202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34697786 (or 34697784 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100020122202012 its reverse (210202221020001), we get a palindrome (310222343222013).

The spelling of 100020122202012 in words is "one hundred trillion, twenty billion, one hundred twenty-two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 3041 6082 9123 12164 18246 36492 240239 480478 720717 960956 1441434 2882868 34694659 69389318 104083977 138778636 208167954 416335908 2740878061 5481756122 8222634183 10963512244 16445268366 32890536732 105506458019 211012916038 316519374057 422025832076 633038748114 1266077496228 8335010183501 16670020367002 25005030550503 33340040734004 50010061101006 100020122202012