Search a number
-
+
131320122011296 = 2517241397283109
BaseRepresentation
bin11101110110111101011001…
…001110010110111010100000
3122012222002012002110211021121
4131312331121032112322200
5114203022102213330141
61143143344202102024
736442365020516131
oct3566753116267240
9565862162424247
10131320122011296
113892a607404319
121288a8771aa914
13583758540678a
14245dcdbd0dc88
15102ae0ecdb1d1
hex776f59396ea0

131320122011296 has 24 divisors (see below), whose sum is σ = 273744519046740. Its totient is φ = 61797704475648.

The previous prime is 131320122011293. The next prime is 131320122011329. The reversal of 131320122011296 is 692110221023131.

It can be written as a sum of positive squares in 2 ways, for example, as 130205535063696 + 1114586947600 = 11410764^2 + 1055740^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (131320122011293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120698641011 + ... + 120698642098.

Almost surely, 2131320122011296 is an apocalyptic number.

131320122011296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131320122011296 is an abundant number, since it is smaller than the sum of its proper divisors (142424397035444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131320122011296 is a wasteful number, since it uses less digits than its factorization.

131320122011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241397283136 (or 241397283128 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 131320122011296 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred twenty-two million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 241397283109 482794566218 965589132436 1931178264872 3862356529744 4103753812853 7724713059488 8207507625706 16415015251412 32830030502824 65660061005648 131320122011296