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11300131323 = 3213791222561
BaseRepresentation
bin10101000011000101…
…00101000111111011
31002011112012011000100
422201202211013323
5141120313200243
65105145010443
7550012350165
oct124142450773
932145164010
1011300131323
1148796a1a08
122234483a23
1310b1170150
14792ab9935
154620c70d3
hex2a18a51fb

11300131323 has 24 divisors (see below), whose sum is σ = 17800502720. Its totient is φ = 6865896960.

The previous prime is 11300131321. The next prime is 11300131327. The reversal of 11300131323 is 32313100311.

It is a happy number.

11300131323 is a `hidden beast` number, since 11 + 300 + 1 + 31 + 323 = 666.

11300131323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11300131323 - 21 = 11300131321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11300131296 and 11300131305.

It is not an unprimeable number, because it can be changed into a prime (11300131321) 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 23 ways as a sum of consecutive naturals, for example, 602038 + ... + 620523.

Almost surely, 211300131323 is an apocalyptic number.

11300131323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11300131323 is a deficient number, since it is larger than the sum of its proper divisors (6500371397).

11300131323 is a wasteful number, since it uses less digits than its factorization.

11300131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222659 (or 1222656 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11300131323 its reverse (32313100311), we get a palindrome (43613231634).

The spelling of 11300131323 in words is "eleven billion, three hundred million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 13 39 79 117 237 711 1027 3081 9243 1222561 3667683 11003049 15893293 47679879 96582319 143039637 289746957 869240871 1255570147 3766710441 11300131323