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130765322213777 = 17149277732125457
BaseRepresentation
bin11101101110111000101100…
…100101000101100110010001
3122011000001011010202222000202
4131232320230211011212101
5114114424334441320102
61142040432033024545
736354324405166106
oct3556705445054621
9564001133688022
10130765322213777
1138736297387969
12127bb2419b5155
1357c7169cb5914
14244110ab30aad
15101b78d255e02
hex76ee2c945991

130765322213777 has 32 divisors (see below), whose sum is σ = 139914449085600. Its totient is φ = 121784501698560.

The previous prime is 130765322213767. The next prime is 130765322213783. The reversal of 130765322213777 is 777312223567031.

It can be written as a sum of positive squares in 16 ways, for example, as 124117335513616 + 6647986700161 = 11140796^2 + 2578369^2 .

It is a cyclic number.

It is not a de Polignac number, because 130765322213777 - 24 = 130765322213761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130765322213767) 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, 5136701033 + ... + 5136726489.

It is an arithmetic number, because the mean of its divisors is an integer number (4372326533925).

Almost surely, 2130765322213777 is an apocalyptic number.

130765322213777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130765322213777 is a deficient number, since it is larger than the sum of its proper divisors (9149126871823).

130765322213777 is a wasteful number, since it uses less digits than its factorization.

130765322213777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33221.

The product of its (nonzero) digits is 15558480, while the sum is 56.

The spelling of 130765322213777 in words is "one hundred thirty trillion, seven hundred sixty-five billion, three hundred twenty-two million, two hundred thirteen thousand, seven hundred seventy-seven".

Divisors: 1 17 149 277 2533 4709 7321 25457 41273 124457 432769 701641 1090829 2027917 3793093 7051589 18544093 34474589 64482581 119877013 186370697 302159633 1050686761 3168301849 5136713761 17861674937 27769233853 51624683069 472076975501 877619612173 7692077777281 130765322213777