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113144011431 = 31159393114783
BaseRepresentation
bin110100101011111101…
…0001001101010100111
3101211001012102022020220
41221113322021222213
53323204331331211
6123551100455423
711113546141353
oct1512772115247
9354035368226
10113144011431
1143a90932470
1219b1784a573
13a8919945b9
145694996463
152e23136806
hex1a57e89aa7

113144011431 has 32 divisors (see below), whose sum is σ = 167416381440. Its totient is φ = 67388181600.

The previous prime is 113144011391. The next prime is 113144011459. The reversal of 113144011431 is 134110441311.

It is not a de Polignac number, because 113144011431 - 27 = 113144011303 is a prime.

It is a super-2 number, since 2×1131440114312 (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 (113144031431) 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, 7646266 + ... + 7661048.

It is an arithmetic number, because the mean of its divisors is an integer number (5231761920).

Almost surely, 2113144011431 is an apocalyptic number.

113144011431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113144011431 is a deficient number, since it is larger than the sum of its proper divisors (54272370009).

113144011431 is a wasteful number, since it uses less digits than its factorization.

113144011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18787.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 113144011431 its reverse (134110441311), we get a palindrome (247254452742).

The spelling of 113144011431 in words is "one hundred thirteen billion, one hundred forty-four million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 59 177 649 1947 3931 11793 14783 43241 44349 129723 162613 231929 487839 695787 872197 2551219 2616591 7653657 9594167 28782501 58111973 174335919 639231703 1917695109 3428606407 10285819221 37714670477 113144011431