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32013313220112 = 2437887269339887
BaseRepresentation
bin1110100011101101011100…
…01010011001111000010000
311012100102221211201021010120
413101312232022121320100
513144001231141020422
6152030414004430240
76512612513402130
oct721665612317020
9135312854637116
1032013313220112
11a222851800194
1237104899a8380
1314b2ac4c21553
147c964a01aac0
153a7b1697945c
hex1d1dae299e10

32013313220112 has 160 divisors (see below), whose sum is σ = 94659561971712. Its totient is φ = 9132727414272.

The previous prime is 32013313220087. The next prime is 32013313220113. The reversal of 32013313220112 is 21102231331023.

It is a super-2 number, since 2×320133132201122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (32013313220113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802580233 + ... + 802620119.

Almost surely, 232013313220112 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 32013313220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47329780985856).

32013313220112 is an abundant number, since it is smaller than the sum of its proper divisors (62646248751600).

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

32013313220112 is a wasteful number, since it uses less digits than its factorization.

32013313220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43485 (or 43479 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32013313220112 its reverse (21102231331023), we get a palindrome (53115544551135).

The spelling of 32013313220112 in words is "thirty-two trillion, thirteen billion, three hundred thirteen million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 887 1774 2661 2693 3548 5322 5386 6209 7096 8079 10644 10772 12418 14192 16158 18627 18851 21288 21544 24836 32316 37254 37702 39887 42576 43088 49672 56553 64632 74508 75404 79774 99344 113106 119661 129264 149016 150808 159548 226212 239322 279209 298032 301616 319096 452424 478644 558418 638192 837627 904848 957288 1116836 1675254 1914576 2233672 2388691 3350508 4467344 4777382 6701016 7166073 9554764 13402032 14332146 16720837 19109528 28664292 33441674 35379769 38219056 50162511 57328584 66883348 70759538 100325022 106139307 107415691 114657168 133766696 141519076 200650044 212278614 214831382 247658383 267533392 283038152 322247073 401300088 424557228 429662764 495316766 566076304 644494146 742975149 751909837 802600176 849114456 859325528 990633532 1288988292 1485950298 1503819674 1698228912 1718651056 1981267064 2255729511 2577976584 2971900596 3007639348 3962534128 4511459022 5155953168 5943801192 6015278696 9022918044 11887602384 12030557392 18045836088 36091672176 95277717917 190555435834 285833153751 381110871668 571666307502 666944025419 762221743336 1143332615004 1333888050838 1524443486672 2000832076257 2286665230008 2667776101676 4001664152514 4573330460016 5335552203352 8003328305028 10671104406704 16006656610056 32013313220112