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130390929000 = 233253312631777
BaseRepresentation
bin111100101101111100…
…1111010111001101000
3110110120011112111101200
41321123321322321220
54114020034212000
6135522322044200
712264131416023
oct1713371727150
9413504474350
10130390929000
1150331309952
122132b7a9660
13c3acb8b377
14644d38c1ba
1535d2334500
hex1e5be7ae68

130390929000 has 384 divisors, whose sum is σ = 456924948480. Its totient is φ = 33502464000.

The previous prime is 130390928981. The next prime is 130390929029. The reversal of 130390929000 is 929093031.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73376112 + ... + 73377888.

It is an arithmetic number, because the mean of its divisors is an integer number (1189908720).

Almost surely, 2130390929000 is an apocalyptic number.

130390929000 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 130390929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228462474240).

130390929000 is an abundant number, since it is smaller than the sum of its proper divisors (326534019480).

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

130390929000 is a wasteful number, since it uses less digits than its factorization.

130390929000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 130390929000 in words is "one hundred thirty billion, three hundred ninety million, nine hundred twenty-nine thousand".