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130109976630 = 2325431072231409
BaseRepresentation
bin111100100101100101…
…0001011000000110110
3110102211120212122012100
41321023022023000312
54112431123223010
6135434404202530
712254150360634
oct1711312130066
9412746778170
10130109976630
11501a7765207
1221271699446
13c3668cc36a
146423d36354
1535b78392c0
hex1e4b28b036

130109976630 has 192 divisors, whose sum is σ = 351203973120. Its totient is φ = 33398120448.

The previous prime is 130109976617. The next prime is 130109976643. The reversal of 130109976630 is 36679901031.

130109976630 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 9 + 9 + 7 + 6 + 630 = 666.

130109976630 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130109976617) and next prime (130109976643).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92341366 + ... + 92342774.

It is an arithmetic number, because the mean of its divisors is an integer number (1829187360).

Almost surely, 2130109976630 is an apocalyptic number.

130109976630 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 130109976630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175601986560).

130109976630 is an abundant number, since it is smaller than the sum of its proper divisors (221093996490).

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

130109976630 is a wasteful number, since it uses less digits than its factorization.

130109976630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 130109976630 in words is "one hundred thirty billion, one hundred nine million, nine hundred seventy-six thousand, six hundred thirty".