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130256494200 = 23335272607811
BaseRepresentation
bin111100101001111100…
…1000101111001111000
3110110012210120111112000
41321103321011321320
54113231130303300
6135501120421000
712260606634600
oct1712371057170
9413183514460
10130256494200
1150272439008
12212b2777760
13c38b07c151
146439595c00
1535c562bc00
hex1e53e45e78

130256494200 has 576 divisors, whose sum is σ = 523416499200. Its totient is φ = 29687212800.

The previous prime is 130256494187. The next prime is 130256494217. The reversal of 130256494200 is 2494652031.

It is a happy number.

130256494200 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 5 + 649 + 4 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160611795 + ... + 160612605.

It is an arithmetic number, because the mean of its divisors is an integer number (908709200).

Almost surely, 2130256494200 is an apocalyptic number.

130256494200 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 130256494200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261708249600).

130256494200 is an abundant number, since it is smaller than the sum of its proper divisors (393160005000).

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

130256494200 is a wasteful number, since it uses less digits than its factorization.

130256494200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130256494200 in words is "one hundred thirty billion, two hundred fifty-six million, four hundred ninety-four thousand, two hundred".