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130129461112 = 23733114910267
BaseRepresentation
bin111100100110001010…
…0011111111101111000
3110102212221112112212211
41321030110133331320
54113001120223422
6135440341544504
712254505112000
oct1711424377570
9412787475784
10130129461112
1150207763192
1221278115134
13c36a961c41
146426769000
1535b93d7577
hex1e4c51ff78

130129461112 has 128 divisors (see below), whose sum is σ = 295718400000. Its totient is φ = 53603303040.

The previous prime is 130129461109. The next prime is 130129461167. The reversal of 130129461112 is 211164921031.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12669403 + ... + 12679669.

It is an arithmetic number, because the mean of its divisors is an integer number (2310300000).

Almost surely, 2130129461112 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 130129461112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147859200000).

130129461112 is an abundant number, since it is smaller than the sum of its proper divisors (165588938888).

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

130129461112 is a wasteful number, since it uses less digits than its factorization.

130129461112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10474 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 130129461112 in words is "one hundred thirty billion, one hundred twenty-nine million, four hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 149 196 217 248 298 343 392 434 596 686 868 1043 1192 1372 1519 1736 2086 2744 3038 4172 4619 6076 7301 8344 9238 10267 10633 12152 14602 18476 20534 21266 29204 32333 36952 41068 42532 51107 58408 64666 71869 82136 85064 102214 129332 143738 204428 226331 258664 287476 318277 408856 452662 503083 574952 636554 905324 1006166 1273108 1529783 1584317 1810648 2012332 2227939 2546216 3059566 3168634 3521581 4024664 4455878 6119132 6337268 7043162 8911756 10708481 12238264 12674536 14086324 15595573 17823512 21416962 28172648 31191146 42833924 47423273 62382292 74959367 85667848 94846546 109169011 124764584 149918734 189693092 218338022 299837468 331962911 379386184 436676044 524715569 599674936 663925822 873352088 1049431138 1327851644 2098862276 2323740377 2655703288 4197724552 4647480754 9294961508 16266182639 18589923016 32532365278 65064730556 130129461112