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131330587220641 = 349385939750613
BaseRepresentation
bin11101110111000111001000…
…111111111101101010100001
3122020000002012102121112122201
4131313013020333331222201
5114203210020312030031
61143152234443533201
736443215244364424
oct3567071077755241
9566002172545581
10131330587220641
1138933a97782a66
12128908b7b2a201
1358385625b7643
142460611b6d9bb
15102b32393dd61
hex7771c8ffdaa1

131330587220641 has 8 divisors (see below), whose sum is σ = 131710318850600. Its totient is φ = 130950875169792.

The previous prime is 131330587220621. The next prime is 131330587220653. The reversal of 131330587220641 is 146022785033131.

It can be written as a sum of positive squares in 4 ways, for example, as 19157069780641 + 112173517440000 = 4376879^2 + 10591200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131330587220641 - 27 = 131330587220513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131330587220591 and 131330587220600.

It is not an unprimeable number, because it can be changed into a prime (131330587220621) 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 7 ways as a sum of consecutive naturals, for example, 8593651 + ... + 18344263.

It is an arithmetic number, because the mean of its divisors is an integer number (16463789856325).

Almost surely, 2131330587220641 is an apocalyptic number.

It is an amenable number.

131330587220641 is a deficient number, since it is larger than the sum of its proper divisors (379731629959).

131330587220641 is an equidigital number, since it uses as much as digits as its factorization.

131330587220641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789555.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 131330587220641 in words is "one hundred thirty-one trillion, three hundred thirty billion, five hundred eighty-seven million, two hundred twenty thousand, six hundred forty-one".

Divisors: 1 349 38593 9750613 13468957 3402963937 376305407509 131330587220641