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131201444004012 = 223217212610673203
BaseRepresentation
bin11101110101001110110111…
…011101101100000010101100
3122012112201212012212101212100
4131311032313131230002230
5114144101024131112022
61143013040012335100
736430664043222654
oct3565166735540254
9565481765771770
10131201444004012
11388942467a8968
121286b876174490
135829321087825
1424582803b1364
151027cb5e1c1ac
hex7753b776c0ac

131201444004012 has 54 divisors (see below), whose sum is σ = 352304377300148. Its totient is φ = 41161237331328.

The previous prime is 131201444003989. The next prime is 131201444004013. The reversal of 131201444004012 is 210400444102131.

131201444004012 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 4 + 4 + 400 + 40 + 12 = 666.

It is a super-2 number, since 2×1312014440040122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131201444004013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6305326198 + ... + 6305347005.

Almost surely, 2131201444004012 is an apocalyptic number.

131201444004012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131201444004012 is an abundant number, since it is smaller than the sum of its proper divisors (221102933296136).

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

131201444004012 is a wasteful number, since it uses less digits than its factorization.

131201444004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610673247 (or 12610673225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131201444004012 its reverse (210400444102131), we get a palindrome (341601888106143).

The spelling of 131201444004012 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred forty-four million, four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 12610673203 25221346406 37832019609 50442692812 75664039218 113496058827 151328078436 214381444451 226992117654 428762888902 453984235308 643144333353 857525777804 1286288666706 1929433000059 2572577333412 3644484555667 3858866000118 7288969111334 7717732000236 10933453667001 14577938222668 21866907334002 32800361001003 43733814668004 65600722002006 131201444004012