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130032298800 = 243252195335869
BaseRepresentation
bin111100100011010000…
…1110110101100110000
3110102122011201012020200
41321012201312230300
54112301232030200
6135422551235200
712252215205645
oct1710641665460
9412564635220
10130032298800
115016792a758
122124b678b00
13c3537a2c51
1464178b5dcc
1535b0ae3800
hex1e46876b30

130032298800 has 360 divisors, whose sum is σ = 483973822800. Its totient is φ = 32229550080.

The previous prime is 130032298789. The next prime is 130032298831. The reversal of 130032298800 is 8892230031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 3607266 + ... + 3643134.

It is an arithmetic number, because the mean of its divisors is an integer number (1344371730).

Almost surely, 2130032298800 is an apocalyptic number.

130032298800 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 130032298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241986911400).

130032298800 is an abundant number, since it is smaller than the sum of its proper divisors (353941524000).

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

130032298800 is a wasteful number, since it uses less digits than its factorization.

130032298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35965 (or 35951 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 130032298800 in words is "one hundred thirty billion, thirty-two million, two hundred ninety-eight thousand, eight hundred".