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23131023232041 = 3217321148381369
BaseRepresentation
bin1010100001001100111000…
…11011000100110000101001
310000220022012210001121012200
411100212130123010300221
511012434313421411131
6121110125000130413
74605106214254104
oct520463433046051
9100808183047180
1023131023232041
1174088a265425a
122716b44a66a09
13cba32799abba
1459d79449773b
152a1a571ad2e6
hex15099c6c4c29

23131023232041 has 12 divisors (see below), whose sum is σ = 33413407184820. Its totient is φ = 15419791762560.

The previous prime is 23131023232027. The next prime is 23131023232067. The reversal of 23131023232041 is 14023232013132.

23131023232041 is a `hidden beast` number, since 2 + 3 + 1 + 310 + 2 + 323 + 20 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8608796105625 + 14522227126416 = 2934075^2 + 3810804^2 .

It is not a de Polignac number, because 23131023232041 - 26 = 23131023231977 is a prime.

It is a super-2 number, since 2×231310232320412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23131023231996 and 23131023232014.

It is not an unprimeable number, because it can be changed into a prime (23131023232081) 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 11 ways as a sum of consecutive naturals, for example, 74034796 + ... + 74346573.

It is an arithmetic number, because the mean of its divisors is an integer number (2784450598735).

Almost surely, 223131023232041 is an apocalyptic number.

It is an amenable number.

23131023232041 is a deficient number, since it is larger than the sum of its proper divisors (10282383952779).

23131023232041 is a wasteful number, since it uses less digits than its factorization.

23131023232041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148398696 (or 148398693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23131023232041 its reverse (14023232013132), we get a palindrome (37154255245173).

The spelling of 23131023232041 in words is "twenty-three trillion, one hundred thirty-one billion, twenty-three million, two hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 17321 51963 155889 148381369 445144107 1335432321 2570113692449 7710341077347 23131023232041