Search a number
-
+
131525114441 = 7225849103841
BaseRepresentation
bin111101001111110000…
…0011111101001001001
3110120111012201002022212
41322133200133221021
54123330412130231
6140231035354505
712334213012100
oct1723740375111
9416435632285
10131525114441
1150863553196
12215a75b2a35
13c530b4b106
146519c69037
15364bbbe42b
hex1e9f81fa49

131525114441 has 12 divisors (see below), whose sum is σ = 153005994900. Its totient is φ = 112730365440.

The previous prime is 131525114419. The next prime is 131525114447. The reversal of 131525114441 is 144411525131.

It can be written as a sum of positive squares in 2 ways, for example, as 31792316416 + 99732798025 = 178304^2 + 315805^2 .

It is not a de Polignac number, because 131525114441 - 230 = 130451372617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131525114398 and 131525114407.

It is not an unprimeable number, because it can be changed into a prime (131525114447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214681 + ... + 1318521.

It is an arithmetic number, because the mean of its divisors is an integer number (12750499575).

Almost surely, 2131525114441 is an apocalyptic number.

It is an amenable number.

131525114441 is a deficient number, since it is larger than the sum of its proper divisors (21480880459).

131525114441 is a wasteful number, since it uses less digits than its factorization.

131525114441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129704 (or 129697 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

Adding to 131525114441 its reverse (144411525131), we get a palindrome (275936639572).

The spelling of 131525114441 in words is "one hundred thirty-one billion, five hundred twenty-five million, one hundred fourteen thousand, four hundred forty-one".

Divisors: 1 7 49 25849 103841 180943 726887 1266601 5088209 2684186009 18789302063 131525114441