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131115320304031 = 761389513341357
BaseRepresentation
bin11101110011111110101010…
…000101110110000110011111
3122012020111120002221010201101
4131303332222011312012133
5114141143133444212111
61142505314022453531
736421524602651440
oct3563765205660637
9565214502833641
10131115320304031
1138860771162408
121285703b5942a7
135821177365bcb
1424540302272c7
15102592502dbc1
hex773faa17619f

131115320304031 has 16 divisors (see below), whose sum is σ = 150092643898944. Its totient is φ = 112199642774784.

The previous prime is 131115320304013. The next prime is 131115320304037. The reversal of 131115320304031 is 130403023511131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131115320304031 - 221 = 131115318206879 is a prime.

It is a super-2 number, since 2×1311153203040312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131115320304037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383929605 + ... + 384270961.

It is an arithmetic number, because the mean of its divisors is an integer number (9380790243684).

Almost surely, 2131115320304031 is an apocalyptic number.

131115320304031 is a deficient number, since it is larger than the sum of its proper divisors (18977323594913).

131115320304031 is an equidigital number, since it uses as much as digits as its factorization.

131115320304031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431490.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 131115320304031 its reverse (130403023511131), we get a palindrome (261518343815162).

The spelling of 131115320304031 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred twenty million, three hundred four thousand, thirty-one".

Divisors: 1 7 613 4291 89513 341357 626591 2389499 54871469 209251841 384100283 1464762887 30555889141 213891223987 18730760043433 131115320304031