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32010102132012 = 223217791151575219
BaseRepresentation
bin1110100011100111011101…
…10001000100110100101100
311012100010200001111002100200
413101303232301010310230
513143423142121211022
6152025123215553500
76512440112531214
oct721635661046454
9135303601432320
1032010102132012
11a221454174174
12370b93252b890
1314b270289cb14
147c9423787244
153a79c9adabac
hex1d1ceec44d2c

32010102132012 has 144 divisors (see below), whose sum is σ = 86834106777600. Its totient is φ = 9906634483200.

The previous prime is 32010102131999. The next prime is 32010102132031. The reversal of 32010102132012 is 21023120101023.

32010102132012 is a `hidden beast` number, since 320 + 1 + 0 + 1 + 0 + 21 + 320 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55360939 + ... + 55936157.

It is an arithmetic number, because the mean of its divisors is an integer number (603014630400).

Almost surely, 232010102132012 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 32010102132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43417053388800).

32010102132012 is an abundant number, since it is smaller than the sum of its proper divisors (54824004645588).

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

32010102132012 is a wasteful number, since it uses less digits than its factorization.

32010102132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576476 (or 576471 counting only the distinct ones).

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

Adding to 32010102132012 its reverse (21023120101023), we get a palindrome (53033222233035).

The spelling of 32010102132012 in words is "thirty-two trillion, ten billion, one hundred two million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 474 612 711 948 1151 1343 1422 2302 2686 2844 3453 4029 4604 5372 6906 8058 10359 12087 13812 16116 19567 20718 24174 39134 41436 48348 58701 78268 90929 117402 176103 181858 234804 272787 352206 363716 545574 575219 704412 818361 1091148 1150438 1545793 1636722 1725657 2300876 3091586 3273444 3451314 4637379 5176971 6183172 6902628 9274758 9778723 10353942 13912137 18549516 19557446 20707884 27824274 29336169 39114892 45442301 55648548 58672338 88008507 90884602 117344676 136326903 176017014 181769204 272653806 352034028 408980709 545307612 662077069 772519117 817961418 1324154138 1545038234 1635922836 1986231207 2317557351 2648308276 3090076468 3972462414 4635114702 5958693621 6952672053 7944924828 9270229404 11255310173 11917387242 13905344106 22510620346 23834774484 27810688212 33765930519 45021240692 52304088451 67531861038 101297791557 104608176902 135063722076 156912265353 202595583114 209216353804 313824530706 405191166228 470736796059 627649061412 889169503667 941473592118 1778339007334 1882947184236 2667508511001 3556678014668 5335017022002 8002525533003 10670034044004 16005051066006 32010102132012