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130244083200 = 29325271114683
BaseRepresentation
bin111100101001100100…
…1101111111000000000
3110110011221012221211100
41321103021233320000
54113214441130300
6135455554414400
712260366304120
oct1712311577000
9413157187740
10130244083200
1150266431490
12212aa591400
13c38862506a
146437a84c80
1535c44c9700
hex1e5326fe00

130244083200 has 720 divisors, whose sum is σ = 581160767616. Its totient is φ = 27061862400.

The previous prime is 130244083171. The next prime is 130244083223. The reversal of 130244083200 is 2380442031.

130244083200 is a `hidden beast` number, since 1 + 30 + 24 + 408 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8863059 + ... + 8877741.

Almost surely, 2130244083200 is an apocalyptic number.

130244083200 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 130244083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290580383808).

130244083200 is an abundant number, since it is smaller than the sum of its proper divisors (450916684416).

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

130244083200 is a wasteful number, since it uses less digits than its factorization.

130244083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14735 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 130244083200 in words is "one hundred thirty billion, two hundred forty-four million, eighty-three thousand, two hundred".