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130013832312 = 233271319843381
BaseRepresentation
bin111100100010101101…
…1011010010001111000
3110102120212221222222200
41321011123122101320
54112232020113222
6135421051350200
712251602224540
oct1710533322170
9412525858880
10130013832312
11501584675a1
1221245452360
13c34ca08830
14641526a320
1535ae196eac
hex1e456da478

130013832312 has 96 divisors (see below), whose sum is σ = 433379462880. Its totient is φ = 34289360640.

The previous prime is 130013832257. The next prime is 130013832323. The reversal of 130013832312 is 213238310031.

130013832312 is a `hidden beast` number, since 1 + 300 + 1 + 38 + 323 + 1 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 9915139 + ... + 9928242.

It is an arithmetic number, because the mean of its divisors is an integer number (4514369405).

Almost surely, 2130013832312 is an apocalyptic number.

130013832312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130013832312 is an abundant number, since it is smaller than the sum of its proper divisors (303365630568).

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

130013832312 is a wasteful number, since it uses less digits than its factorization.

130013832312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19843413 (or 19843406 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 130013832312 in words is "one hundred thirty billion, thirteen million, eight hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 19843381 39686762 59530143 79373524 119060286 138903667 158747048 178590429 238120572 257963953 277807334 357180858 416711001 476241144 515927906 555614668 714361716 773891859 833422002 1031855812 1111229336 1250133003 1428723432 1547783718 1666844004 1805747671 2063711624 2321675577 2500266006 3095567436 3333688008 3611495342 4643351154 5000532012 5417243013 6191134872 7222990684 9286702308 10001064024 10834486026 14445981368 16251729039 18573404616 21668972052 32503458078 43337944104 65006916156 130013832312