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113133002129 = 7117134074051
BaseRepresentation
bin110100101011101000…
…0001001110110010001
3101211000102200222022222
41221113100021312101
53323144022032004
6123550024510425
711113353436310
oct1512720116621
9354012628288
10113133002129
1143a856a2a74
1219b1401b415
13a88c60b514
14569332c277
152e221ae7be
hex1a57409d91

113133002129 has 16 divisors (see below), whose sum is σ = 129475209216. Its totient is φ = 96835986000.

The previous prime is 113133002069. The next prime is 113133002131. The reversal of 113133002129 is 921200331311.

It is a cyclic number.

It is not a de Polignac number, because 113133002129 - 220 = 113131953553 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113133002098 and 113133002107.

It is not an unprimeable number, because it can be changed into a prime (113133002189) 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 15 ways as a sum of consecutive naturals, for example, 27925154 + ... + 27929204.

It is an arithmetic number, because the mean of its divisors is an integer number (8092200576).

Almost surely, 2113133002129 is an apocalyptic number.

It is an amenable number.

113133002129 is a deficient number, since it is larger than the sum of its proper divisors (16342207087).

113133002129 is a wasteful number, since it uses less digits than its factorization.

113133002129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 113133002129 in words is "one hundred thirteen billion, one hundred thirty-three million, two thousand, one hundred twenty-nine".

Divisors: 1 7 1171 3407 4051 8197 23849 28357 3989597 4743721 13801757 27927179 33206047 96612299 16161857447 113133002129