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131244404031 = 33131583236207
BaseRepresentation
bin111101000111011000…
…1101010110100111111
3110112202122111112001000
41322032301222310333
54122242031412111
6140143131021343
712324234012306
oct1721661526477
9415678445030
10131244404031
115072a054314
122152959a853
13c4b7945290
1464d087743d
153632220c56
hex1e8ec6ad3f

131244404031 has 32 divisors (see below), whose sum is σ = 209525944320. Its totient is φ = 80714424672.

The previous prime is 131244403999. The next prime is 131244404033. The reversal of 131244404031 is 130404442131.

131244404031 is a `hidden beast` number, since 13 + 1 + 244 + 4 + 0 + 403 + 1 = 666.

It is not a de Polignac number, because 131244404031 - 25 = 131244403999 is a prime.

It is a super-2 number, since 2×1312444040312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131244403986 and 131244404004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131244404033) 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, 437530 + ... + 673736.

It is an arithmetic number, because the mean of its divisors is an integer number (6547685760).

Almost surely, 2131244404031 is an apocalyptic number.

131244404031 is a deficient number, since it is larger than the sum of its proper divisors (78281540289).

131244404031 is a wasteful number, since it uses less digits than its factorization.

131244404031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237812 (or 237806 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131244404031 its reverse (130404442131), we get a palindrome (261648846162).

The spelling of 131244404031 in words is "one hundred thirty-one billion, two hundred forty-four million, four hundred four thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 351 1583 4749 14247 20579 42741 61737 185211 236207 555633 708621 2125863 3070691 6377589 9212073 27636219 82908657 373915681 1121747043 3365241129 4860903853 10095723387 14582711559 43748134677 131244404031