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130871585385 = 36535904413
BaseRepresentation
bin111100111100010001…
…1011110101001101001
3110111210122222101000000
41321320203132221221
54121011111213020
6140042132133213
712312056056422
oct1717043365151
9414718871000
10130871585385
1150558664132
1221444767209
13c45862ca28
14649714a649
15360e62b090
hex1e788dea69

130871585385 has 28 divisors (see below), whose sum is σ = 235461147012. Its totient is φ = 69798176928.

The previous prime is 130871585357. The next prime is 130871585407. The reversal of 130871585385 is 583585178031.

130871585385 is a `hidden beast` number, since 1 + 30 + 8 + 71 + 5 + 8 + 538 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25264784601 + 105606800784 = 158949^2 + 324972^2 .

It is not a de Polignac number, because 130871585385 - 212 = 130871581289 is a prime.

It is a super-2 number, since 2×1308715853852 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17948562 + ... + 17955851.

It is an arithmetic number, because the mean of its divisors is an integer number (8409326679).

Almost surely, 2130871585385 is an apocalyptic number.

130871585385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130871585385 is a deficient number, since it is larger than the sum of its proper divisors (104589561627).

130871585385 is an frugal number, since it uses more digits than its factorization.

130871585385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35904436 (or 35904421 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 130871585385 in words is "one hundred thirty billion, eight hundred seventy-one million, five hundred eighty-five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 35904413 107713239 179522065 323139717 538566195 969419151 1615698585 2908257453 4847095755 8724772359 14541287265 26174317077 43623861795 130871585385