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112234327326 = 233112337222029
BaseRepresentation
bin110100010000110101…
…1111110110100011110
3101201200210200120021000
41220201223332310132
53314323441433301
6123320523051130
711052162020202
oct1504153766436
9351623616230
10112234327326
1143664396320
1219903070aa6
13a77838a094
145609c38b02
152dbd345786
hex1a21afed1e

112234327326 has 128 divisors (see below), whose sum is σ = 291587558400. Its totient is φ = 31652311680.

The previous prime is 112234327291. The next prime is 112234327327. The reversal of 112234327326 is 623723432211.

112234327326 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 4 + 327 + 326 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112234327327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394480 + ... + 616508.

It is an arithmetic number, because the mean of its divisors is an integer number (2278027800).

Almost surely, 2112234327326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112234327326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145793779200).

112234327326 is an abundant number, since it is smaller than the sum of its proper divisors (179353231074).

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

112234327326 is a wasteful number, since it uses less digits than its factorization.

112234327326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222111 (or 222105 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

Adding to 112234327326 its reverse (623723432211), we get a palindrome (735957759537).

The spelling of 112234327326 in words is "one hundred twelve billion, two hundred thirty-four million, three hundred twenty-seven thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 37 46 54 66 69 74 99 111 138 198 207 222 253 297 333 407 414 506 594 621 666 759 814 851 999 1221 1242 1518 1702 1998 2277 2442 2553 3663 4554 5106 6831 7326 7659 9361 10989 13662 15318 18722 21978 22977 28083 45954 56166 84249 168498 222029 252747 444058 505494 666087 1332174 1998261 2442319 3996522 4884638 5106667 5994783 7326957 8215073 10213334 11989566 14653914 15320001 16430146 21980871 24645219 30640002 43961742 45960003 49290438 56173337 65942613 73935657 90365803 91920006 112346674 131885226 137880009 147871314 168520011 180731606 188946679 221806971 271097409 275760018 337040022 377893358 443613942 505560033 542194818 566840037 813292227 1011120066 1133680074 1516680099 1626584454 1700520111 2078413469 2439876681 3033360198 3401040222 4156826938 4879753362 5101560333 6235240407 10203120666 12470480814 18705721221 37411442442 56117163663 112234327326