Search a number
-
+
1310100232131 = 321631795949727
BaseRepresentation
bin10011000100001000000…
…011110001011111000011
311122020121010201101222200
4103010020003301133003
5132431041124412011
62441503550404243
7163436335143315
oct23041003613703
94566533641880
101310100232131
11465679477079
12191aa5b00683
13967077a9c62
14475a2b5d7b5
152412a9d1856
hex131080f17c3

1310100232131 has 24 divisors (see below), whose sum is σ = 1904120924160. Its totient is φ = 867976081776.

The previous prime is 1310100232099. The next prime is 1310100232139. The reversal of 1310100232131 is 1312320010131.

1310100232131 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 0 + 2 + 321 + 31 = 666.

It is not a de Polignac number, because 1310100232131 - 25 = 1310100232099 is a prime.

It is a super-2 number, since 2×13101002321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310100232139) 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 23 ways as a sum of consecutive naturals, for example, 26320990 + ... + 26370716.

It is an arithmetic number, because the mean of its divisors is an integer number (79338371840).

Almost surely, 21310100232131 is an apocalyptic number.

1310100232131 is a deficient number, since it is larger than the sum of its proper divisors (594020692029).

1310100232131 is a wasteful number, since it uses less digits than its factorization.

1310100232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67855 (or 67852 counting only the distinct ones).

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

Adding to 1310100232131 its reverse (1312320010131), we get a palindrome (2622420242262).

The spelling of 1310100232131 in words is "one trillion, three hundred ten billion, one hundred million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 163 489 1467 17959 49727 53877 149181 161631 447543 2927317 8105501 8781951 24316503 26345853 72949509 893047193 2679141579 8037424737 145566692459 436700077377 1310100232131