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130091312 = 24132371383
BaseRepresentation
bin1111100000100…
…00100100110000
3100001210022201202
413300100210300
5231300410222
620524150332
73136520651
oct760204460
9301708652
10130091312
116748458a
12376983a8
1320c4b210
14133c5528
15b64a892
hex7c10930

130091312 has 80 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 56474880.

The previous prime is 130091281. The next prime is 130091321. The reversal of 130091312 is 213190031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339473 + ... + 339855.

Almost surely, 2130091312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130091312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

130091312 is an abundant number, since it is smaller than the sum of its proper divisors (157890256).

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

130091312 is a wasteful number, since it uses less digits than its factorization.

130091312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 130091312 is about 11405.7578441768. The cubic root of 130091312 is about 506.6982813452.

The spelling of 130091312 in words is "one hundred thirty million, ninety-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 71 92 104 142 184 208 284 299 368 383 568 598 766 923 1136 1196 1532 1633 1846 2392 3064 3266 3692 4784 4979 6128 6532 7384 8809 9958 13064 14768 17618 19916 21229 26128 27193 35236 39832 42458 54386 70472 79664 84916 108772 114517 140944 169832 217544 229034 339664 353509 435088 458068 625439 707018 916136 1250878 1414036 1832272 2501756 2828072 5003512 5656144 8130707 10007024 16261414 32522828 65045656 130091312