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110100131323 = 7132503185027
BaseRepresentation
bin110011010001001111…
…0101010110111111011
3101112012001211011201121
41212202132222313323
53300441113200243
6122325043530111
710645245450340
oct1464236526773
9345161734647
10110100131323
1142769721276
1219408389937
13a4c8188400
14548660a7c7
152ce5cc61ed
hex19a27aadfb

110100131323 has 24 divisors (see below), whose sum is σ = 136524019968. Its totient is φ = 86938536672.

The previous prime is 110100131311. The next prime is 110100131327. The reversal of 110100131323 is 323131001011.

It is a de Polignac number, because none of the positive numbers 2k-110100131323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100131297 and 110100131306.

It is not an unprimeable number, because it can be changed into a prime (110100131327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502536 + ... + 687562.

It is an arithmetic number, because the mean of its divisors is an integer number (5688500832).

Almost surely, 2110100131323 is an apocalyptic number.

110100131323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

110100131323 is a deficient number, since it is larger than the sum of its proper divisors (26423888645).

110100131323 is a wasteful number, since it uses less digits than its factorization.

110100131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185563 (or 185550 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110100131323 its reverse (323131001011), we get a palindrome (433231132334).

The spelling of 110100131323 in words is "one hundred ten billion, one hundred million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 7 13 91 169 503 1183 3521 6539 45773 85007 185027 595049 1295189 2405351 16837457 31269563 93068581 218886941 651480067 1209891553 8469240871 15728590189 110100131323