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13300010031 = 371157575801
BaseRepresentation
bin11000110001011111…
…00000110000101111
31021022220022111212010
430120233200300233
5204214300310111
610035425212303
7650405135310
oct143057406057
937286274763
1013300010031
115705566430
1226b2191093
13133c5a4229
14902542607
1552c963aa6
hex318be0c2f

13300010031 has 16 divisors (see below), whose sum is σ = 22109107968. Its totient is φ = 6909096000.

The previous prime is 13300009997. The next prime is 13300010081. The reversal of 13300010031 is 13001000331.

13300010031 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 13300010031 - 213 = 13300001839 is a prime.

It is a super-2 number, since 2×133000100312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13300009989 and 13300010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300010081) 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 15 ways as a sum of consecutive naturals, for example, 28787670 + ... + 28788131.

It is an arithmetic number, because the mean of its divisors is an integer number (1381819248).

Almost surely, 213300010031 is an apocalyptic number.

13300010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13300010031 is a deficient number, since it is larger than the sum of its proper divisors (8809097937).

13300010031 is a wasteful number, since it uses less digits than its factorization.

13300010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57575822.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13300010031 its reverse (13001000331), we get a palindrome (26301010362).

The spelling of 13300010031 in words is "thirteen billion, three hundred million, ten thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 231 57575801 172727403 403030607 633333811 1209091821 1900001433 4433336677 13300010031