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130204756000 = 25531183101353
BaseRepresentation
bin111100101000011001…
…1101110100000100000
3110110002012012221001101
41321100303232200200
54113124404143000
6135452031444144
712256411110424
oct1712063564040
9413065187041
10130204756000
1150246210370
1221299386654
13c380435827
146432768b84
1535c0d0be6a
hex1e50cee820

130204756000 has 384 divisors, whose sum is σ = 357708379392. Its totient is φ = 46182400000.

The previous prime is 130204755949. The next prime is 130204756039. The reversal of 130204756000 is 657402031.

It is a self number, because there is not a number n which added to its sum of digits gives 130204756000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368851824 + ... + 368852176.

It is an arithmetic number, because the mean of its divisors is an integer number (931532238).

Almost surely, 2130204756000 is an apocalyptic number.

130204756000 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 130204756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178854189696).

130204756000 is an abundant number, since it is smaller than the sum of its proper divisors (227503623392).

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

130204756000 is a wasteful number, since it uses less digits than its factorization.

130204756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 130204756000 in words is "one hundred thirty billion, two hundred four million, seven hundred fifty-six thousand".