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130942659600 = 2432523721632
BaseRepresentation
bin111100111110011001…
…0100110110000010000
3110111222121201022111100
41321330302212300100
54121132310101400
6140053151344400
712313611146034
oct1717462466020
9414877638440
10130942659600
1150594799255
1221464522100
13c46a28648c
1464a276c1c4
1536159ba100
hex1e7cca6c10

130942659600 has 405 divisors, whose sum is σ = 469903344183. Its totient is φ = 33765880320.

The previous prime is 130942659541. The next prime is 130942659611. The reversal of 130942659600 is 6956249031.

The square root of 130942659600 is 361860.

It is a perfect power (a square), and thus also a powerful number.

130942659600 is a `hidden beast` number, since 1 + 30 + 9 + 4 + 2 + 6 + 5 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12430466064 + 118512193536 = 111492^2 + 344256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 803329119 + ... + 803329281.

Almost surely, 2130942659600 is an apocalyptic number.

130942659600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130942659600 is the 361860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130942659600

130942659600 is an abundant number, since it is smaller than the sum of its proper divisors (338960684583).

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

130942659600 is a wasteful number, since it uses less digits than its factorization.

130942659600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 130942659600 in words is "one hundred thirty billion, nine hundred forty-two million, six hundred fifty-nine thousand, six hundred".