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131201404310000 = 245413120140431
BaseRepresentation
bin11101110101001110110101…
…000110010001000111110000
3122012112201202110011201220202
4131311032311012101013300
5114144100434000410000
61143013032033454332
736430663051640663
oct3565166506210760
9565481673151822
10131201404310000
11388942263571a2
121286b864a113a8
135829315a9a34b
142458278ddb6da
151027cb26cadd5
hex7753b51911f0

131201404310000 has 50 divisors (see below), whose sum is σ = 317651719999152. Its totient is φ = 52480561720000.

The previous prime is 131201404309979. The next prime is 131201404310003. The reversal of 131201404310000 is 13404102131.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1312014043100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201404310003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6560060216 + ... + 6560080215.

Almost surely, 2131201404310000 is an apocalyptic number.

131201404310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201404310000 is an abundant number, since it is smaller than the sum of its proper divisors (186450315689152).

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

131201404310000 is an equidigital number, since it uses as much as digits as its factorization.

131201404310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13120140459 (or 13120140438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131201404310000 its reverse (13404102131), we get a palindrome (131214808412131).

The spelling of 131201404310000 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13120140431 26240280862 52480561724 65600702155 104961123448 131201404310 209922246896 262402808620 328003510775 524805617240 656007021550 1049611234480 1312014043100 1640017553875 2624028086200 3280035107750 5248056172400 6560070215500 8200087769375 13120140431000 16400175538750 26240280862000 32800351077500 65600702155000 131201404310000