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130115930344569 = 321322924832
BaseRepresentation
bin11101100101011011111001…
…110011101100110001111001
3122001200221221220101222112100
4131211123321303230301321
5114023304411132011234
61140422233323334013
736256365023320311
oct3545337163546171
9561627856358470
10130115930344569
1138505946622a54
1212715409981309
13577ab585a0100
14241b904c1c441
15100993211a399
hex7656f9cecc79

130115930344569 has 27 divisors (see below), whose sum is σ = 203515356101967. Its totient is φ = 80071067986416.

The previous prime is 130115930344559. The next prime is 130115930344601. The reversal of 130115930344569 is 965443039511031.

It is a happy number.

The square root of 130115930344569 is 11406837.

It is a perfect power (a square), and thus also a powerful number.

130115930344569 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 5 + 9 + 30 + 3 + 44 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19247918690025 + 110868011654544 = 4387245^2 + 10529388^2 .

It is not a de Polignac number, because 130115930344569 - 27 = 130115930344441 is a prime.

It is a super-2 number, since 2×1301159303445692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130115930344559) 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 26 ways as a sum of consecutive naturals, for example, 444720402 + ... + 445012884.

Almost surely, 2130115930344569 is an apocalyptic number.

130115930344569 is the 11406837-th square number.

130115930344569 is the 5703419-th centered octagonal number.

It is an amenable number.

130115930344569 is a deficient number, since it is larger than the sum of its proper divisors (73399425757398).

130115930344569 is an frugal number, since it uses more digits than its factorization.

130115930344569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584998 (or 292499 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 130115930344569 in words is "one hundred thirty trillion, one hundred fifteen billion, nine hundred thirty million, three hundred forty-four thousand, five hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 292483 877449 2632347 3802279 11406837 34220511 49429627 148288881 444866643 85546305289 256638915867 769916747601 1112101968757 3336305906271 10008917718813 14457325593841 43371976781523 130115930344569