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130114133012000 = 255332528533253
BaseRepresentation
bin11101100101011010001110…
…101011011010111000100000
3122001200210022122102000202102
4131211122032223122320200
5114023242221022341000
61140421335120305532
736256302340252544
oct3545321653327040
9561623278360672
10130114133012000
1138505104020435
1212714ba7a722a8
13577a930105207
14241b7b423ba24
15100987943c3d5
hex76568eadae20

130114133012000 has 48 divisors (see below), whose sum is σ = 319690424820312. Its totient is φ = 52045653203200.

The previous prime is 130114133011943. The next prime is 130114133012047. The reversal of 130114133012000 is 210331411031.

It can be written as a sum of positive squares in 4 ways, for example, as 67549133693584 + 62564999318416 = 8218828^2 + 7909804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16264262627 + ... + 16264270626.

Almost surely, 2130114133012000 is an apocalyptic number.

130114133012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130114133012000 is an abundant number, since it is smaller than the sum of its proper divisors (189576291808312).

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

130114133012000 is an equidigital number, since it uses as much as digits as its factorization.

130114133012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32528533278 (or 32528533260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 130114133012000 its reverse (210331411031), we get a palindrome (130324464423031).

The spelling of 130114133012000 in words is "one hundred thirty trillion, one hundred fourteen billion, one hundred thirty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 32528533253 65057066506 130114133012 162642666265 260228266024 325285332530 520456532048 650570665060 813213331325 1040913064096 1301141330120 1626426662650 2602282660240 3252853325300 4066066656625 5204565320480 6505706650600 8132133313250 13011413301200 16264266626500 26022826602400 32528533253000 65057066506000 130114133012000