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133112312015229 = 3241360737972941
BaseRepresentation
bin11110010001000010100000…
…000100101010100101111101
3122110022102010220011002020200
4132101002200010222211331
5114421403003333441404
61151034541341434113
740016022116302311
oct3621024004524575
9573272126132220
10133112312015229
11394606839a12a8
1212b1a083b6b939
13593758b5a3021
1424c2955353b41
15105c853d7b839
hex7910a012a97d

133112312015229 has 12 divisors (see below), whose sum is σ = 196962933226332. Its totient is φ = 86577113505600.

The previous prime is 133112312015173. The next prime is 133112312015231. The reversal of 133112312015229 is 922510213211331.

133112312015229 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 2 + 3 + 120 + 1 + 522 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9636368062500 + 123475943952729 = 3104250^2 + 11111973^2 .

It is not a de Polignac number, because 133112312015229 - 27 = 133112312015101 is a prime.

It is a super-2 number, since 2×1331123120152292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133112312015193 and 133112312015202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112312015239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180368986102 + ... + 180368986839.

It is an arithmetic number, because the mean of its divisors is an integer number (16413577768861).

Almost surely, 2133112312015229 is an apocalyptic number.

It is an amenable number.

133112312015229 is a deficient number, since it is larger than the sum of its proper divisors (63850621211103).

133112312015229 is a wasteful number, since it uses less digits than its factorization.

133112312015229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360737972988 (or 360737972985 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 133112312015229 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twelve million, fifteen thousand, two hundred twenty-nine".

Divisors: 1 3 9 41 123 369 360737972941 1082213918823 3246641756469 14790256890581 44370770671743 133112312015229