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131237007444 = 22323645472429
BaseRepresentation
bin111101000111001010…
…1011101000001010100
3110112202010120201211100
41322032111131001110
54122233133214234
6140142304310100
712324114105024
oct1721625350124
9415663521740
10131237007444
1150725962134
1221527012330
13c4b62556ba
1464cd8ada84
15363175e399
hex1e8e55d054

131237007444 has 18 divisors (see below), whose sum is σ = 331737991130. Its totient is φ = 43745669136.

The previous prime is 131237007431. The next prime is 131237007467. The reversal of 131237007444 is 444700732131.

It can be written as a sum of positive squares in only one way, i.e., 129103676100 + 2133331344 = 359310^2 + 46188^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1312370074442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3645472429 = 131237007444 / (1 + 3 + 1 + 2 + 3 + 7 + 0 + 0 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 131237007399 and 131237007408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1822736179 + ... + 1822736250.

Almost surely, 2131237007444 is an apocalyptic number.

It is an amenable number.

131237007444 is an abundant number, since it is smaller than the sum of its proper divisors (200500983686).

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

131237007444 is a wasteful number, since it uses less digits than its factorization.

131237007444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645472439 (or 3645472434 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 131237007444 its reverse (444700732131), we get a palindrome (575937739575).

The spelling of 131237007444 in words is "one hundred thirty-one billion, two hundred thirty-seven million, seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3645472429 7290944858 10936417287 14581889716 21872834574 32809251861 43745669148 65618503722 131237007444