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130902991128 = 2332713219471721
BaseRepresentation
bin111100111101001101…
…1010010000100011000
3110111212212001221120200
41321322123102010120
54121042131204003
6140045213222200
712312620031360
oct1717233220430
9414785057520
10130902991128
1150574364798
1221453191960
13c461ca7800
14649b3a39a0
1536122816a3
hex1e7a6d2118

130902991128 has 576 divisors, whose sum is σ = 471932697600. Its totient is φ = 31992330240.

The previous prime is 130902991127. The next prime is 130902991151. The reversal of 130902991128 is 821199209031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130902991127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76061308 + ... + 76063028.

It is an arithmetic number, because the mean of its divisors is an integer number (819327600).

Almost surely, 2130902991128 is an apocalyptic number.

130902991128 is a gapful number since it is divisible by the number (18) 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 130902991128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235966348800).

130902991128 is an abundant number, since it is smaller than the sum of its proper divisors (341029706472).

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

130902991128 is a wasteful number, since it uses less digits than its factorization.

130902991128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 130902991128 in words is "one hundred thirty billion, nine hundred two million, nine hundred ninety-one thousand, one hundred twenty-eight".