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131302243331 = 7213120455249
BaseRepresentation
bin111101001001000111…
…0010011110000000011
3110112220200100001122022
41322102032103300003
54122401333241311
6140152554432055
712325535440100
oct1722216236003
9415820301568
10131302243331
1150759769896
1221544a3262b
13c4c691690c
1464d8411aa7
1536373485db
hex1e92393c03

131302243331 has 12 divisors (see below), whose sum is σ = 153905301000. Its totient is φ = 111685654080.

The previous prime is 131302243321. The next prime is 131302243339. The reversal of 131302243331 is 133342203131.

It is a de Polignac number, because none of the positive numbers 2k-131302243331 is a prime.

It is a super-2 number, since 2×1313022433312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131302243331.

It is not an unprimeable number, because it can be changed into a prime (131302243339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10221206 + ... + 10234043.

It is an arithmetic number, because the mean of its divisors is an integer number (12825441750).

Almost surely, 2131302243331 is an apocalyptic number.

131302243331 is a deficient number, since it is larger than the sum of its proper divisors (22603057669).

131302243331 is a wasteful number, since it uses less digits than its factorization.

131302243331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20455394 (or 20455387 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 131302243331 its reverse (133342203131), we get a palindrome (264644446462).

The spelling of 131302243331 in words is "one hundred thirty-one billion, three hundred two million, two hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 7 49 131 917 6419 20455249 143186743 1002307201 2679637619 18757463333 131302243331