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113292105537 = 31323199634679
BaseRepresentation
bin110100110000010111…
…1000101011101000001
3101211102112002021011210
41221200233011131001
53324010234334122
6124013511000333
711120325002532
oct1514057053501
9354375067153
10113292105537
1144057492796
1219b593690a9
13a8b6576b50
1456aa506689
152e3113b40c
hex1a60bc5741

113292105537 has 32 divisors (see below), whose sum is σ = 170601984000. Its totient is φ = 66351776832.

The previous prime is 113292105499. The next prime is 113292105569. The reversal of 113292105537 is 735501292311.

It is not a de Polignac number, because 113292105537 - 26 = 113292105473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 113292105495 and 113292105504.

It is not an unprimeable number, because it can be changed into a prime (113292105587) 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 31 ways as a sum of consecutive naturals, for example, 138837 + ... + 495842.

It is an arithmetic number, because the mean of its divisors is an integer number (5331312000).

Almost surely, 2113292105537 is an apocalyptic number.

It is an amenable number.

113292105537 is a deficient number, since it is larger than the sum of its proper divisors (57309878463).

113292105537 is a wasteful number, since it uses less digits than its factorization.

113292105537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634917.

The product of its (nonzero) digits is 56700, while the sum is 39.

Adding to 113292105537 its reverse (735501292311), we get a palindrome (848793397848).

The spelling of 113292105537 in words is "one hundred thirteen billion, two hundred ninety-two million, one hundred five thousand, five hundred thirty-seven".

Divisors: 1 3 13 23 39 69 199 299 597 897 2587 4577 7761 13731 59501 178503 634679 1904037 8250827 14597617 24752481 43792851 126301121 189769021 378903363 569307063 1641914573 2904925783 4925743719 8714777349 37764035179 113292105537