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132130133103131 = 375964194425677
BaseRepresentation
bin11110000010101111110001…
…101001011101001000011011
3122022211111222011020201112022
4132002233301221131020123
5114304310003033300011
61145003424543005055
736555041605300622
oct3602576151351033
9568744864221468
10132130133103131
1139112090569529
121299b85629978b
135895a83455117
14248b1bda846b9
15104201be2c8db
hex782bf1a5d21b

132130133103131 has 16 divisors (see below), whose sum is σ = 138216530429280. Its totient is φ = 126182919352320.

The previous prime is 132130133103083. The next prime is 132130133103161. The reversal of 132130133103131 is 131301331031231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132130133103131 is a prime.

It is a super-2 number, since 2×1321301331031312 (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 132130133103131.

It is not an unprimeable number, because it can be changed into a prime (132130133103161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45813536 + ... + 48612141.

It is an arithmetic number, because the mean of its divisors is an integer number (8638533151830).

Almost surely, 2132130133103131 is an apocalyptic number.

132130133103131 is a deficient number, since it is larger than the sum of its proper divisors (6086397326149).

132130133103131 is an equidigital number, since it uses as much as digits as its factorization.

132130133103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94426414.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 132130133103131 its reverse (131301331031231), we get a palindrome (263431464134362).

The spelling of 132130133103131 in words is "one hundred thirty-two trillion, one hundred thirty billion, one hundred thirty-three million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 37 59 641 2183 23717 37819 1399303 94425677 3493750049 5571114943 60526858957 206131252891 2239493781409 3571084678463 132130133103131