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23013121131 = 32711132554459
BaseRepresentation
bin10101011011101100…
…000101110001101011
32012101211020200101200
4111123230011301223
5334112324334011
614323323015243
71443200205420
oct253354056153
965354220350
1023013121131
11983a341580
12456306a523
132229a04550
141184545d47
158ea552856
hex55bb05c6b

23013121131 has 48 divisors (see below), whose sum is σ = 44631525120. Its totient is φ = 11035258560.

The previous prime is 23013121127. The next prime is 23013121147. The reversal of 23013121131 is 13112131032.

It is not a de Polignac number, because 23013121131 - 22 = 23013121127 is a prime.

It is a super-2 number, since 2×230131211312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23013121121) 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 47 ways as a sum of consecutive naturals, for example, 1268221 + ... + 1286238.

It is an arithmetic number, because the mean of its divisors is an integer number (929823440).

Almost surely, 223013121131 is an apocalyptic number.

23013121131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23013121131 is a deficient number, since it is larger than the sum of its proper divisors (21618403989).

23013121131 is a wasteful number, since it uses less digits than its factorization.

23013121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554496 (or 2554493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23013121131 its reverse (13112131032), we get a palindrome (36125252163).

Subtracting from 23013121131 its reverse (13112131032), we obtain a palindrome (9900990099).

The spelling of 23013121131 in words is "twenty-three billion, thirteen million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 2554459 7663377 17881213 22990131 28099049 33207967 53643639 84297147 99623901 160930917 196693343 232455769 252891441 298871703 365287637 590080029 697367307 1095862911 1770240087 2092101921 2557013459 3287588733 7671040377 23013121131