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202110102122112 = 273419493644109
BaseRepresentation
bin101101111101000101101100…
…110101111010111010000000
3222111121112111112001020010000
4231331011230311322322000
5202442332442120401422
61553504033225040000
760366654512364252
oct5575055465727200
9874545445036100
10202110102122112
115944245a715088
121a802360326000
1388a0b93227822
1437ca27707bcd2
1518575330d7cac
hexb7d16cd7ae80

202110102122112 has 80 divisors (see below), whose sum is σ = 601476389014050. Its totient is φ = 67370034037248.

The previous prime is 202110102122107. The next prime is 202110102122177. The reversal of 202110102122112 is 211221201011202.

202110102122112 is a `hidden beast` number, since 20 + 211 + 0 + 10 + 212 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120438684495936 + 81671417626176 = 10974456^2 + 9037224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9746811687 + ... + 9746832422.

Almost surely, 2202110102122112 is an apocalyptic number.

It is an amenable number.

202110102122112 is an abundant number, since it is smaller than the sum of its proper divisors (399366286891938).

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

202110102122112 is an equidigital number, since it uses as much as digits as its factorization.

202110102122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19493644135 (or 19493644114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202110102122112 its reverse (211221201011202), we get a palindrome (413331303133314).

The spelling of 202110102122112 in words is "two hundred two trillion, one hundred ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 19493644109 38987288218 58480932327 77974576436 116961864654 155949152872 175442796981 233923729308 311898305744 350885593962 467847458616 526328390943 623796611488 701771187924 935694917232 1052656781886 1247593222976 1403542375848 1578985172829 1871389834464 2105313563772 2495186445952 2807084751696 3157970345658 3742779668928 4210627127544 5614169503392 6315940691316 7485559337856 8421254255088 11228339006784 12631881382632 16842508510176 22456678013568 25263762765264 33685017020352 50527525530528 67370034040704 101055051061056 202110102122112