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130102632 = 233311173221
BaseRepresentation
bin1111100000100…
…11010101101000
3100001210220021000
413300103111220
5231301241012
620524315000
73136565652
oct760232550
9301726230
10130102632
1167492040
12376a2a60
1320c5340a
14133c96d2
15b64dddc
hex7c13568

130102632 has 128 divisors (see below), whose sum is σ = 417571200. Its totient is φ = 37094400.

The previous prime is 130102591. The next prime is 130102639. The reversal of 130102632 is 236201031.

130102632 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 2 + 632 = 666.

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 (130102639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38782 + ... + 42002.

It is an arithmetic number, because the mean of its divisors is an integer number (3262275).

Almost surely, 2130102632 is an apocalyptic number.

130102632 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 130102632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208785600).

130102632 is an abundant number, since it is smaller than the sum of its proper divisors (287468568).

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

130102632 is a wasteful number, since it uses less digits than its factorization.

130102632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130102632 is about 11406.2540739719. The cubic root of 130102632 is about 506.7129778383.

Adding to 130102632 its reverse (236201031), we get a palindrome (366303663).

The spelling of 130102632 in words is "one hundred thirty million, one hundred two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3221 3366 3672 4488 5049 6442 6732 9663 10098 12884 13464 19326 20196 25768 28989 35431 38652 40392 54757 57978 70862 77304 86967 106293 109514 115956 141724 164271 173934 212586 219028 231912 283448 318879 328542 347868 425172 438056 492813 602327 637758 657084 695736 850344 956637 985626 1204654 1275516 1314168 1478439 1806981 1913274 1971252 2409308 2551032 2956878 3613962 3826548 3942504 4818616 5420943 5913756 7227924 7653096 10841886 11827512 14455848 16262829 21683772 32525658 43367544 65051316 130102632