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131531540444532 = 223215487723590681
BaseRepresentation
bin11101111010000010010010…
…101111101011010101110100
3122020201021220012120000111200
4131322002102233223111310
5114220003043323211112
61143424431104532500
736463561121533014
oct3572022257532564
9566637805500450
10131531540444532
1138a012386193a8
121290383a921130
1358514a9246b07
14246a2366a3c44
151031685904cdc
hex77a092beb574

131531540444532 has 36 divisors (see below), whose sum is σ = 332484665858436. Its totient is φ = 43843561868160.

The previous prime is 131531540444531. The next prime is 131531540444569. The reversal of 131531540444532 is 235444045135131.

131531540444532 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 154 + 0 + 44 + 453 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44464837894416 + 87066702550116 = 6668196^2 + 9330954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1315315404445322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131531540444531) 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, 6219769 + ... + 17370912.

Almost surely, 2131531540444532 is an apocalyptic number.

131531540444532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131531540444532 is an abundant number, since it is smaller than the sum of its proper divisors (200953125413904).

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

131531540444532 is a wasteful number, since it uses less digits than its factorization.

131531540444532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23745568 (or 23745563 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 131531540444532 its reverse (235444045135131), we get a palindrome (366975585579663).

The spelling of 131531540444532 in words is "one hundred thirty-one trillion, five hundred thirty-one billion, five hundred forty million, four hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 154877 309754 464631 619508 929262 1393893 1858524 2787786 5575572 23590681 47181362 70772043 94362724 141544086 212316129 283088172 424632258 849264516 3653653901237 7307307802474 10960961703711 14614615604948 21921923407422 32882885111133 43843846814844 65765770222266 131531540444532