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23313022131 = 3717131498493
BaseRepresentation
bin10101101101100100…
…000111110010110011
32020011201120020020010
4111231210013302303
5340221113202011
614413154550003
71453501263360
oct255544076263
966151506203
1023313022131
119983658643
124627598303
132276b99269
1411b22d1467
15916a421a6
hex56d907cb3

23313022131 has 32 divisors (see below), whose sum is σ = 37901495808. Its totient is φ = 12442360320.

The previous prime is 23313022127. The next prime is 23313022147. The reversal of 23313022131 is 13122031332.

It is not a de Polignac number, because 23313022131 - 22 = 23313022127 is a prime.

It is a super-2 number, since 2×233130221312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23313022098 and 23313022107.

It is not an unprimeable number, because it can be changed into a prime (23313022231) 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 31 ways as a sum of consecutive naturals, for example, 202480 + ... + 296013.

It is an arithmetic number, because the mean of its divisors is an integer number (1184421744).

Almost surely, 223313022131 is an apocalyptic number.

23313022131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23313022131 is a deficient number, since it is larger than the sum of its proper divisors (14588473677).

23313022131 is a wasteful number, since it uses less digits than its factorization.

23313022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498651.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23313022131 its reverse (13122031332), we get a palindrome (36435053463).

The spelling of 23313022131 in words is "twenty-three billion, three hundred thirteen million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 131 357 393 917 2227 2751 6681 15589 46767 498493 1495479 3489451 8474381 10468353 25423143 59320667 65302583 177962001 195907749 457118081 1110143911 1371354243 3330431733 7771007377 23313022131