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113431001540 = 2257185992993
BaseRepresentation
bin110100110100100000…
…0111011100111000100
3101211210012102220200012
41221221000323213010
53324301314022130
6124035352005352
711123632414253
oct1515100734704
9354705386605
10113431001540
114411893037a
1219b97990858
13a90928882c
1456c0b4079a
152e3d425995
hex1a6903b9c4

113431001540 has 48 divisors (see below), whose sum is σ = 241843916160. Its totient is φ = 44680796160.

The previous prime is 113431001527. The next prime is 113431001543. The reversal of 113431001540 is 45100134311.

It is a happy number.

113431001540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1134310015402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113431001543) 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, 1173284 + ... + 1266276.

It is an arithmetic number, because the mean of its divisors is an integer number (5038414920).

Almost surely, 2113431001540 is an apocalyptic number.

113431001540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113431001540 is an abundant number, since it is smaller than the sum of its proper divisors (128412914620).

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

113431001540 is a wasteful number, since it uses less digits than its factorization.

113431001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93932 (or 93930 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 113431001540 its reverse (45100134311), we get a palindrome (158531135851).

The spelling of 113431001540 in words is "one hundred thirteen billion, four hundred thirty-one million, one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 859 1420 1718 3436 4295 8590 17180 60989 92993 121978 185986 243956 304945 371972 464965 609890 929930 1219780 1859860 6602503 13205006 26410012 33012515 66025030 79880987 132050060 159761974 319523948 399404935 798809870 1597619740 5671550077 11343100154 22686200308 28357750385 56715500770 113431001540