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130430937100 = 225215721139373
BaseRepresentation
bin111100101111001001…
…0100010100000001100
3110110122221211010012011
41321132102202200030
54114110304441400
6135530311351004
712265125446512
oct1713622424014
9413587733164
10130430937100
11503519555a2
1221341082464
13c3b82587b9
1464548044b2
1535d5ad88ba
hex1e5e4a280c

130430937100 has 72 divisors (see below), whose sum is σ = 286195116368. Its totient is φ = 51593068800.

The previous prime is 130430937019. The next prime is 130430937137. The reversal of 130430937100 is 1739034031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3293014 + ... + 3332386.

Almost surely, 2130430937100 is an apocalyptic number.

130430937100 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 130430937100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143097558184).

130430937100 is an abundant number, since it is smaller than the sum of its proper divisors (155764179268).

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

130430937100 is a wasteful number, since it uses less digits than its factorization.

130430937100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39755 (or 39748 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 130430937100 in words is "one hundred thirty billion, four hundred thirty million, nine hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 211 314 422 628 785 844 1055 1570 2110 3140 3925 4220 5275 7850 10550 15700 21100 33127 39373 66254 78746 132508 157492 165635 196865 331270 393730 662540 787460 828175 984325 1656350 1968650 3312700 3937300 6181561 8307703 12363122 16615406 24726244 30907805 33230812 41538515 61815610 83077030 123631220 154539025 166154060 207692575 309078050 415385150 618156100 830770300 1304309371 2608618742 5217237484 6521546855 13043093710 26086187420 32607734275 65215468550 130430937100