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130099128320 = 211572324773
BaseRepresentation
bin111100100101010000…
…0110010100000000000
3110102210211110111010002
41321022200302200000
54112420334101240
6135433335455132
712253656226130
oct1711240624000
9412724414102
10130099128320
11501a1625767
1221269b274a8
13c3645a1645
146422710ac0
1535b68e4d15
hex1e4a832800

130099128320 has 576 divisors, whose sum is σ = 386094159360. Its totient is φ = 41186230272.

The previous prime is 130099128307. The next prime is 130099128323. The reversal of 130099128320 is 23821990031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130099128323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782179804 + ... + 1782179876.

It is an arithmetic number, because the mean of its divisors is an integer number (670302360).

Almost surely, 2130099128320 is an apocalyptic number.

130099128320 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 130099128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193047079680).

130099128320 is an abundant number, since it is smaller than the sum of its proper divisors (255995031040).

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

130099128320 is an equidigital number, since it uses as much as digits as its factorization.

130099128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 130099128320 in words is "one hundred thirty billion, ninety-nine million, one hundred twenty-eight thousand, three hundred twenty".