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10121231121 = 3234771113389
BaseRepresentation
bin10010110110100010…
…11011101100010001
3222010100212210221220
421123101123230101
5131212013343441
64352153035253
7505546021311
oct113321335421
928110783856
1010121231121
114324197821
121b656b5b29
13c53b55871
146c02bd441
153e3858466
hex25b45bb11

10121231121 has 64 divisors (see below), whose sum is σ = 14750760960. Its totient is φ = 6156846080.

The previous prime is 10121231089. The next prime is 10121231147. The reversal of 10121231121 is 12113212101.

10121231121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121231121 - 25 = 10121231089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10121231121.

It is not an unprimeable number, because it can be changed into a prime (10121231161) by changing a digit.

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, 26018395 + ... + 26018783.

It is an arithmetic number, because the mean of its divisors is an integer number (230480640).

Almost surely, 210121231121 is an apocalyptic number.

It is an amenable number.

10121231121 is a deficient number, since it is larger than the sum of its proper divisors (4629529839).

10121231121 is a wasteful number, since it uses less digits than its factorization.

10121231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121231121 its reverse (12113212101), we get a palindrome (22234443222).

The spelling of 10121231121 in words is "ten billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 23 47 69 71 113 141 213 339 389 1081 1167 1633 2599 3243 3337 4899 5311 7797 8023 8947 10011 15933 18283 24069 26841 27619 43957 54849 76751 82857 122153 131871 184529 230253 366459 377081 420509 553587 635237 1011011 1131243 1261527 1298093 1905711 2065979 3033033 3120947 3894279 6197937 8672863 9362841 26018589 29856139 47517517 71781781 89568417 142552551 146684509 215345343 440053527 3373743707 10121231121