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130113001220 = 22561120188801
BaseRepresentation
bin111100100101101010…
…1101101011100000100
3110102211210120022011012
41321023111231130010
54112432412014340
6135434553101352
712254215155656
oct1711325553404
9412753508135
10130113001220
11501a9440674
12212726b7858
13c36741ac67
1464244c26d6
1535b7c35565
hex1e4b56d704

130113001220 has 48 divisors (see below), whose sum is σ = 277950970416. Its totient is φ = 51148800000.

The previous prime is 130113001219. The next prime is 130113001273. The reversal of 130113001220 is 22100311031.

It can be written as a sum of positive squares in 8 ways, for example, as 102589527616 + 27523473604 = 320296^2 + 165902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130113001195 and 130113001204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420820 + ... + 1509620.

It is an arithmetic number, because the mean of its divisors is an integer number (5790645217).

Almost surely, 2130113001220 is an apocalyptic number.

130113001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130113001220 is an abundant number, since it is smaller than the sum of its proper divisors (147837969196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130113001220 is a wasteful number, since it uses less digits than its factorization.

130113001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90072 (or 90070 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 130113001220 its reverse (22100311031), we get a palindrome (152213312251).

The spelling of 130113001220 in words is "one hundred thirty billion, one hundred thirteen million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1201 1220 2402 4804 6005 12010 24020 73261 88801 146522 177602 293044 355204 366305 444005 732610 888010 1465220 1776020 5416861 10833722 21667444 27084305 54168610 106650001 108337220 213300002 426600004 533250005 1066500010 2133000020 6505650061 13011300122 26022600244 32528250305 65056500610 130113001220