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113431001541 = 31113673946387
BaseRepresentation
bin110100110100100000…
…0111011100111000101
3101211210012102220200020
41221221000323213011
53324301314022131
6124035352005353
711123632414254
oct1515100734705
9354705386606
10113431001541
1144118930380
1219b97990859
13a909288830
1456c0b4079b
152e3d425996
hex1a6903b9c5

113431001541 has 32 divisors (see below), whose sum is σ = 180334146048. Its totient is φ = 62510754240.

The previous prime is 113431001527. The next prime is 113431001543. The reversal of 113431001541 is 145100134311.

It is not a de Polignac number, because 113431001541 - 210 = 113431000517 is a prime.

It is a super-2 number, since 2×1134310015412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113431001543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944451 + ... + 2001936.

It is an arithmetic number, because the mean of its divisors is an integer number (5635442064).

Almost surely, 2113431001541 is an apocalyptic number.

113431001541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113431001541 is a deficient number, since it is larger than the sum of its proper divisors (66903144507).

113431001541 is a wasteful number, since it uses less digits than its factorization.

113431001541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946481.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 113431001541 its reverse (145100134311), we get a palindrome (258531135852).

The spelling of 113431001541 in words is "one hundred thirteen billion, four hundred thirty-one million, one thousand, five hundred forty-one".

Divisors: 1 3 11 13 33 39 67 143 201 429 737 871 2211 2613 9581 28743 3946387 11839161 43410257 51303031 130230771 153909093 264407929 564333341 793223787 1693000023 2908487219 3437303077 8725461657 10311909231 37810333847 113431001541