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10000202120112 = 2431737331220261
BaseRepresentation
bin1001000110000101101001…
…1111101011101110110000
31022102000021021120000111110
42101201122133223232300
52302320403220320422
633134010205113320
72051330221341621
oct221413237535660
938360237500443
1010000202120112
113206075434936
121156133558840
13577026ca5819
14268025d03a48
151251dca6a60c
hex9185a7ebbb0

10000202120112 has 80 divisors (see below), whose sum is σ = 28092777741792. Its totient is φ = 3052525916160.

The previous prime is 10000202120093. The next prime is 10000202120113. The reversal of 10000202120112 is 21102120200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10000202120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165579939 + ... + 165640322.

Almost surely, 210000202120112 is an apocalyptic number.

10000202120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000202120112 is an abundant number, since it is smaller than the sum of its proper divisors (18092575621680).

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

10000202120112 is a wasteful number, since it uses less digits than its factorization.

10000202120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331220326 (or 331220320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000202120112 its reverse (21102120200001), we get a palindrome (31102322320113).

The spelling of 10000202120112 in words is "ten trillion, two hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1776 1887 2516 3774 5032 7548 10064 15096 30192 331220261 662440522 993660783 1324881044 1987321566 2649762088 3974643132 5299524176 5630744437 7949286264 11261488874 12255149657 15898572528 16892233311 22522977748 24510299314 33784466622 36765448971 45045955496 49020598628 67568933244 73530897942 90091910992 98041197256 135137866488 147061795884 196082394512 208337544169 270275732976 294123591768 416675088338 588247183536 625012632507 833350176676 1250025265014 1666700353352 2500050530028 3333400706704 5000101060056 10000202120112