Search a number
-
+
132130242031231 = 10112770910243759
BaseRepresentation
bin11110000010101111111000…
…001000111110111001111111
3122022211112020202012211210101
4132002233320020332321333
5114304310213424444411
61145003443433421531
736555044400206353
oct3602577010767177
9568745222184711
10132130242031231
1139112136aa8854
121299b88686a8a7
135895a9cba3612
14248b1d031b463
1510420267978c1
hex782bf823ee7f

132130242031231 has 8 divisors (see below), whose sum is σ = 133439520139200. Its totient is φ = 130820984666400.

The previous prime is 132130242031141. The next prime is 132130242031243.

132130242031231 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132130242031231 - 217 = 132130241900159 is a prime.

It is a super-2 number, since 2×1321302420312312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132130242031231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130242031031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7776730 + ... + 18020488.

It is an arithmetic number, because the mean of its divisors is an integer number (16679940017400).

Almost surely, 2132130242031231 is an apocalyptic number.

132130242031231 is a deficient number, since it is larger than the sum of its proper divisors (1309278107969).

132130242031231 is a wasteful number, since it uses less digits than its factorization.

132130242031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371569.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 132130242031231 in words is "one hundred thirty-two trillion, one hundred thirty billion, two hundred forty-two million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 101 127709 10243759 12898609 1034619659 1308220218131 132130242031231