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130055112 = 233311127431
BaseRepresentation
bin1111100000001…
…11101111001000
3100001201111002000
413300013233020
5231243230422
620523311000
73136310265
oct760075710
9301644060
10130055112
116745a370
123767b460
1320c378b5
14133b626c
15b63ecac
hex7c07bc8

130055112 has 128 divisors (see below), whose sum is σ = 398131200. Its totient is φ = 39009600.

The previous prime is 130055071. The next prime is 130055119. The reversal of 130055112 is 211550031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130055119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301537 + ... + 301967.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2130055112 is an apocalyptic number.

130055112 is a gapful number since it is divisible by the number (12) 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 130055112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

130055112 is an abundant number, since it is smaller than the sum of its proper divisors (268076088).

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

130055112 is a wasteful number, since it uses less digits than its factorization.

130055112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 130055112 is about 11404.1708159778. The cubic root of 130055112 is about 506.6512780029.

The spelling of 130055112 in words is "one hundred thirty million, fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 127 132 198 216 254 264 297 381 396 431 508 594 762 792 862 1016 1143 1188 1293 1397 1524 1724 2286 2376 2586 2794 3048 3429 3448 3879 4191 4572 4741 5172 5588 6858 7758 8382 9144 9482 10344 11176 11637 12573 13716 14223 15516 16764 18964 23274 25146 27432 28446 31032 33528 37719 37928 42669 46548 50292 54737 56892 75438 85338 93096 100584 109474 113784 128007 150876 164211 170676 218948 256014 301752 328422 341352 437896 492633 512028 602107 656844 985266 1024056 1204214 1313688 1477899 1806321 1970532 2408428 2955798 3612642 3941064 4816856 5418963 5911596 7225284 10837926 11823192 14450568 16256889 21675852 32513778 43351704 65027556 130055112