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130921302960 = 243257193134593
BaseRepresentation
bin111100111101110000…
…1001000101110110000
3110111221010112021200200
41321323201020232300
54121111323143320
6140051105515200
712313231466550
oct1717341105660
9414833467620
10130921302960
1150583731738
1221459342b00
13c465a19706
14649d9ad160
153613b9c290
hex1e7b848bb0

130921302960 has 240 divisors, whose sum is σ = 505095749184. Its totient is φ = 29769596928.

The previous prime is 130921302943. The next prime is 130921302971. The reversal of 130921302960 is 69203129031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905424 + ... + 1040016.

Almost surely, 2130921302960 is an apocalyptic number.

130921302960 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 130921302960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252547874592).

130921302960 is an abundant number, since it is smaller than the sum of its proper divisors (374174446224).

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

130921302960 is a wasteful number, since it uses less digits than its factorization.

130921302960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134812 (or 134803 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 130921302960 in words is "one hundred thirty billion, nine hundred twenty-one million, three hundred two thousand, nine hundred sixty".