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130014612 = 223371313229
BaseRepresentation
bin1111011111111…
…01110110010100
3100001122102112000
413233331312110
5231240431422
620522355300
73136051230
oct757756624
9301572460
10130014612
11674319a2
123765bb30
1320c22330
14133a55c0
15b632cac
hex7bfdd94

130014612 has 96 divisors (see below), whose sum is σ = 414892800. Its totient is φ = 34286976.

The previous prime is 130014601. The next prime is 130014631. The reversal of 130014612 is 216410031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214 + ... + 16442.

It is an arithmetic number, because the mean of its divisors is an integer number (4321800).

Almost surely, 2130014612 is an apocalyptic number.

130014612 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 130014612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207446400).

130014612 is an abundant number, since it is smaller than the sum of its proper divisors (284878188).

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

130014612 is a wasteful number, since it uses less digits than its factorization.

130014612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13262 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130014612 is about 11402.3950115754. The cubic root of 130014612 is about 506.5986810519.

Adding to 130014612 its reverse (216410031), we get a palindrome (346424643).

The spelling of 130014612 in words is "one hundred thirty million, fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 13229 26458 39687 52916 79374 92603 119061 158748 171977 185206 238122 277809 343954 357183 370412 476244 515931 555618 687908 714366 833427 1031862 1111236 1203839 1428732 1547793 1666854 2063724 2407678 2500281 3095586 3333708 3611517 4643379 4815356 5000562 6191172 7223034 9286758 10001124 10834551 14446068 18573516 21669102 32503653 43338204 65007306 130014612