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130208229360 = 243251197169489
BaseRepresentation
bin111100101000100000…
…0111110011111110000
3110110002102202101121100
41321101000332133300
54113131301314420
6135452234124400
712256452455016
oct1712100763760
9413072671540
10130208229360
1150248172a10
122129a580700
13c381080781
146432dd08b6
1535c1296190
hex1e5103e7f0

130208229360 has 240 divisors, whose sum is σ = 481956340320. Its totient is φ = 31240028160.

The previous prime is 130208229293. The next prime is 130208229383. The reversal of 130208229360 is 63922802031.

130208229360 is a `hidden beast` number, since 1 + 302 + 0 + 8 + 2 + 293 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 683496 + ... + 852984.

It is an arithmetic number, because the mean of its divisors is an integer number (2008151418).

Almost surely, 2130208229360 is an apocalyptic number.

130208229360 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 130208229360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240978170160).

130208229360 is an abundant number, since it is smaller than the sum of its proper divisors (351748110960).

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

130208229360 is a wasteful number, since it uses less digits than its factorization.

130208229360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169616 (or 169607 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 130208229360 in words is "one hundred thirty billion, two hundred eight million, two hundred twenty-nine thousand, three hundred sixty".