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130884488031 = 31128399714057
BaseRepresentation
bin111100111100101010…
…0101100101101011111
3110111211120020220002210
41321321110230231133
54121022412104111
6140043312451503
712312303535443
oct1717124545537
9414746226083
10130884488031
1150564977080
1221448b49b93
13c45b1c982b
146498b48823
1536108290a6
hex1e7952cb5f

130884488031 has 32 divisors (see below), whose sum is σ = 191255378688. Its totient is φ = 78958736640.

The previous prime is 130884488023. The next prime is 130884488057.

130884488031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130884488031 - 23 = 130884488023 is a prime.

It is a super-2 number, since 2×1308844880312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130884488011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9303955 + ... + 9318011.

It is an arithmetic number, because the mean of its divisors is an integer number (5976730584).

Almost surely, 2130884488031 is an apocalyptic number.

130884488031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130884488031 is a deficient number, since it is larger than the sum of its proper divisors (60370890657).

130884488031 is a wasteful number, since it uses less digits than its factorization.

130884488031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351.

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 130884488031 in words is "one hundred thirty billion, eight hundred eighty-four million, four hundred eighty-eight thousand, thirty-one".

Divisors: 1 3 11 33 283 849 997 2991 3113 9339 10967 14057 32901 42171 154627 282151 463881 846453 3103661 3978131 9310983 11934393 14014829 42044487 43759441 131278323 154163119 462489357 3966196607 11898589821 43628162677 130884488031