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130203832320 = 2123951719
BaseRepresentation
bin111100101000011000…
…0001101000000000000
3110110002010111000000000
41321100300031000000
54113124140113240
6135452000000000
712256400212452
oct1712060150000
9413063430000
10130203832320
115024573a3a1
1221299000000
13c3801a1283
1464325a82d2
1535c0bc8430
hex1e50c0d000

130203832320 has 1040 divisors, whose sum is σ = 522355141440. Its totient is φ = 30958682112.

The previous prime is 130203832289. The next prime is 130203832333. The reversal of 130203832320 is 23238302031.

130203832320 is a `hidden beast` number, since 1 + 30 + 20 + 383 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6852833271 + ... + 6852833289.

Almost surely, 2130203832320 is an apocalyptic number.

130203832320 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 130203832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261177570720).

130203832320 is an abundant number, since it is smaller than the sum of its proper divisors (392151309120).

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

130203832320 is an frugal number, since it uses more digits than its factorization.

130203832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 130203832320 in words is "one hundred thirty billion, two hundred three million, eight hundred thirty-two thousand, three hundred twenty".