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131344500105049 = 71117314096997841
BaseRepresentation
bin11101110111010100000110…
…010001011001111101011001
3122020001102010001011022002211
4131313110012101121331121
5114203422014011330144
61143202455205155121
736444220104062560
oct3567240621317531
9566042101138084
10131344500105049
113893998718aa40
121289353b3bbaa1
13583996bb4441a
14246117184abd7
15102b88a0b5034
hex777506459f59

131344500105049 has 32 divisors (see below), whose sum is σ = 164817653402880. Its totient is φ = 101682533990400.

The previous prime is 131344500105031. The next prime is 131344500105079. The reversal of 131344500105049 is 940501005443131.

It is not a de Polignac number, because 131344500105049 - 227 = 131344365887321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131344500105079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15270369 + ... + 22268209.

It is an arithmetic number, because the mean of its divisors is an integer number (5150551668840).

Almost surely, 2131344500105049 is an apocalyptic number.

It is an amenable number.

131344500105049 is a deficient number, since it is larger than the sum of its proper divisors (33473153297831).

131344500105049 is a wasteful number, since it uses less digits than its factorization.

131344500105049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999441.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 131344500105049 in words is "one hundred thirty-one trillion, three hundred forty-four billion, five hundred million, one hundred five thousand, forty-nine".

Divisors: 1 7 11 77 173 1211 1409 1903 9863 13321 15499 108493 243757 1706299 2681327 6997841 18769289 48984887 76976251 538833757 1210626493 8474385451 9859957969 13316891423 69019705783 93218239961 108459537659 759216763613 1705772728637 11940409100459 18763500015007 131344500105049