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130102336 = 2671389251
BaseRepresentation
bin1111100000100…
…11010001000000
3100001210212212001
413300103101000
5231301233321
620524313344
73136565050
oct760232100
9301725761
10130102336
11674918a1
12376a2854
1320c53240
14133c9560
15b64dc91
hex7c13440

130102336 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 50688000.

The previous prime is 130102327. The next prime is 130102337. The reversal of 130102336 is 633201031.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (130102337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518211 + ... + 518461.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2130102336 is an apocalyptic number.

130102336 is a gapful number since it is divisible by the number (16) 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 130102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

130102336 is an abundant number, since it is smaller than the sum of its proper divisors (192497984).

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

130102336 is a wasteful number, since it uses less digits than its factorization.

130102336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 130102336 is about 11406.2410986267. The cubic root of 130102336 is about 506.7125935592.

Adding to 130102336 its reverse (633201031), we get a palindrome (763303367).

The spelling of 130102336 in words is "one hundred thirty million, one hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 89 91 104 112 178 182 208 224 251 356 364 416 448 502 623 712 728 832 1004 1157 1246 1424 1456 1757 2008 2314 2492 2848 2912 3263 3514 4016 4628 4984 5696 5824 6526 7028 8032 8099 9256 9968 13052 14056 16064 16198 18512 19936 22339 22841 26104 28112 32396 37024 39872 44678 45682 52208 56224 64792 74048 89356 91364 104416 112448 129584 156373 178712 182728 208832 259168 290407 312746 357424 365456 518336 580814 625492 714848 730912 1161628 1250984 1429696 1461824 2032849 2323256 2501968 4065698 4646512 5003936 8131396 9293024 10007872 16262792 18586048 32525584 65051168 130102336