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23135514403131 = 32131891910451897
BaseRepresentation
bin1010100001010101010000…
…00111100010000100111011
310000220201210202222201201200
411100222220013202010323
511013023013141400011
6121112150353345243
74605325420503264
oct520525007420473
9100821722881650
1023135514403131
11740a7978145a9
122717998b68223
13cba8922a2ba0
1459da9cb4596b
152a1c1b605856
hex150aa81e213b

23135514403131 has 24 divisors (see below), whose sum is σ = 35990483649120. Its totient is φ = 14236485734016.

The previous prime is 23135514403129. The next prime is 23135514403163. The reversal of 23135514403131 is 13130441553132.

23135514403131 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 5 + 514 + 4 + 0 + 3 + 131 = 666.

It is not a de Polignac number, because 23135514403131 - 21 = 23135514403129 is a prime.

It is a super-2 number, since 2×231355144031312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23135514443131) 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 23 ways as a sum of consecutive naturals, for example, 3012426 + ... + 7439471.

It is an arithmetic number, because the mean of its divisors is an integer number (1499603485380).

Almost surely, 223135514403131 is an apocalyptic number.

23135514403131 is a deficient number, since it is larger than the sum of its proper divisors (12854969245989).

23135514403131 is a wasteful number, since it uses less digits than its factorization.

23135514403131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470835 (or 10470832 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 23135514403131 its reverse (13130441553132), we get a palindrome (36265955956263).

The spelling of 23135514403131 in words is "twenty-three trillion, one hundred thirty-five billion, five hundred fourteen million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 18919 56757 170271 245947 737841 2213523 10451897 31355691 94067073 135874661 407623983 1222871949 197739439343 593218318029 1779654954087 2570612711459 7711838134377 23135514403131