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130999835610 = 232571965916607
BaseRepresentation
bin111101000000000110…
…0101101101111011010
3110112010121022011020100
41322000030231233122
54121241424214420
6140102553040230
712315204141660
oct1720014555732
9415117264210
10130999835610
1150613aa0456
122147b6b6076
13c479084c37
1464aa1b2c30
15361aa11190
hex1e8032dbda

130999835610 has 192 divisors, whose sum is σ = 410390323200. Its totient is φ = 28322130816.

The previous prime is 130999835587. The next prime is 130999835633. The reversal of 130999835610 is 16538999031.

130999835610 is a `hidden beast` number, since 13 + 0 + 9 + 9 + 9 + 8 + 3 + 5 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (130999835587) and next prime (130999835633).

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 95 ways as a sum of consecutive naturals, for example, 7879927 + ... + 7896533.

It is an arithmetic number, because the mean of its divisors is an integer number (2137449600).

Almost surely, 2130999835610 is an apocalyptic number.

130999835610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130999835610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205195161600).

130999835610 is an abundant number, since it is smaller than the sum of its proper divisors (279390487590).

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

130999835610 is a wasteful number, since it uses less digits than its factorization.

130999835610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 130999835610 in words is "one hundred thirty billion, nine hundred ninety-nine million, eight hundred thirty-five thousand, six hundred ten".