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130153383360 = 2633571113101149
BaseRepresentation
bin111100100110110111…
…1110000010111000000
3110102221121112221001000
41321031233300113000
54113023231231420
6135442554412000
712255215335110
oct1711557602700
9412847487030
10130153383360
115021a212340
1221284131000
13c3728b9710
1464299d5040
1535bb560690
hex1e4dbf05c0

130153383360 has 1792 divisors, whose sum is σ = 626766336000. Its totient is φ = 24551424000.

The previous prime is 130153383317. The next prime is 130153383401. The reversal of 130153383360 is 63383351031.

130153383360 is a `hidden beast` number, since 1 + 30 + 1 + 533 + 8 + 33 + 60 = 666.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 873512566 + ... + 873512714.

It is an arithmetic number, because the mean of its divisors is an integer number (349758000).

Almost surely, 2130153383360 is an apocalyptic number.

130153383360 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 130153383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313383168000).

130153383360 is an abundant number, since it is smaller than the sum of its proper divisors (496612952640).

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

130153383360 is a wasteful number, since it uses less digits than its factorization.

130153383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 130153383360 in words is "one hundred thirty billion, one hundred fifty-three million, three hundred eighty-three thousand, three hundred sixty".