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10000112122 = 27111331269599
BaseRepresentation
bin10010101000000110…
…11001100111111010
3221210220222022221001
421110003121213322
5130440012041442
64332145035214
7502545356560
oct112403314772
927726868831
1010000112122
114271891280
121b31025b0a
13c34a29510
146ac191a30
153d7dd12b7
hex2540d99fa

10000112122 has 128 divisors (see below), whose sum is σ = 20901888000. Its totient is φ = 3461702400.

The previous prime is 10000112117. The next prime is 10000112131. The reversal of 10000112122 is 22121100001.

10000112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10000112099 and 10000112108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16694379 + ... + 16694977.

It is an arithmetic number, because the mean of its divisors is an integer number (163296000).

Almost surely, 210000112122 is an apocalyptic number.

10000112122 is an abundant number, since it is smaller than the sum of its proper divisors (10901775878).

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

10000112122 is a wasteful number, since it uses less digits than its factorization.

10000112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000112122 its reverse (22121100001), we get a palindrome (32121212123).

The spelling of 10000112122 in words is "ten billion, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 143 154 182 217 269 286 341 403 434 538 599 682 806 1001 1198 1883 2002 2387 2821 2959 3497 3766 4193 4433 4774 5642 5918 6589 6994 7787 8339 8386 8866 13178 15574 16678 18569 20713 24479 31031 37138 38467 41426 46123 48958 54509 58373 62062 76934 85657 91729 92246 108407 109018 116746 129983 161131 171314 183458 204259 216814 241397 259966 269269 322262 408518 482794 538538 599599 642103 758849 1127917 1192477 1199198 1284206 1429813 1517698 1689779 1772441 2094703 2255834 2384954 2655367 2859626 3379558 3544882 4189406 4995061 5310734 8347339 9990122 12407087 14662921 16694678 18587569 23041733 24814174 29325842 34965427 37175138 46083466 54945671 64935793 69930854 109891342 129871586 161292131 322584262 384619697 454550551 714293723 769239394 909101102 1428587446 5000056061 10000112122