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130131233232000 = 27353711138930431
BaseRepresentation
bin11101100101101010001001…
…111011100101010010000000
3122001202102110101111012122220
4131211222021323211102000
5114024032231201411000
61140433244021331040
736260446161603420
oct3545521173452200
9561672411435586
10130131233232000
1138511389710860
121271837a866a80
13577c426ab82a0
14241c557368480
15100a02a80e1a0
hex765a89ee5480

130131233232000 has 2048 divisors, whose sum is σ = 585729427046400. Its totient is φ = 24678973440000.

The previous prime is 130131233231981. The next prime is 130131233232019. The reversal of 130131233232000 is 232332131031.

It is an interprime number because it is at equal distance from previous prime (130131233231981) and next prime (130131233232019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4276256785 + ... + 4276287215.

It is an arithmetic number, because the mean of its divisors is an integer number (286000696800).

Almost surely, 2130131233232000 is an apocalyptic number.

130131233232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130131233232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292864713523200).

130131233232000 is an abundant number, since it is smaller than the sum of its proper divisors (455598193814400).

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

130131233232000 is a wasteful number, since it uses less digits than its factorization.

130131233232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30583 (or 30561 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130131233232000 its reverse (232332131031), we get a palindrome (130363565363031).

The spelling of 130131233232000 in words is "one hundred thirty trillion, one hundred thirty-one billion, two hundred thirty-three million, two hundred thirty-two thousand".