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31132200223113 = 3111125898379149
BaseRepresentation
bin1110001010000100001111…
…01111000100000110001001
311002020012122120011100021220
413011002013233010012021
513040032221224114423
6150113534011152253
76362140641451233
oct705020757040611
9132205576140256
1031132200223113
119a13101458290
1235a9766a45689
13144a9a538b682
14798b41197253
1538ec476169e3
hex1c5087bc4189

31132200223113 has 16 divisors (see below), whose sum is σ = 45283607928000. Its totient is φ = 18867830300480.

The previous prime is 31132200223097. The next prime is 31132200223121.

31132200223113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31132200223113 - 24 = 31132200223097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31132200223213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474138 + ... + 7905011.

It is an arithmetic number, because the mean of its divisors is an integer number (2830225495500).

Almost surely, 231132200223113 is an apocalyptic number.

31132200223113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31132200223113 is a deficient number, since it is larger than the sum of its proper divisors (14151407704887).

31132200223113 is a wasteful number, since it uses less digits than its factorization.

31132200223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491752.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 31132200 and 223113, that added together give a palindrome (31355313).

The spelling of 31132200223113 in words is "thirty-one trillion, one hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 11 33 112589 337767 1238479 3715437 8379149 25137447 92170639 276511917 943400006761 2830200020283 10377400074371 31132200223113