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12110231322 = 233725977573
BaseRepresentation
bin10110100011101001…
…10111011100011010
31011020222112111022000
423101310313130122
5144300204400242
65321404141430
7606050160600
oct132164673432
934228474260
1012110231322
115154a01042
12241b837876
1311acc4b267
1482c513870
154ad296a4c
hex2d1d3771a

12110231322 has 96 divisors (see below), whose sum is σ = 31836369600. Its totient is φ = 3401377056.

The previous prime is 12110231311. The next prime is 12110231323. The reversal of 12110231322 is 22313201121.

12110231322 is a `hidden beast` number, since 1 + 2 + 110 + 231 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12110231295 and 12110231304.

It is not an unprimeable number, because it can be changed into a prime (12110231323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 117328 + ... + 194900.

It is an arithmetic number, because the mean of its divisors is an integer number (331628850).

Almost surely, 212110231322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110231322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918184800).

12110231322 is an abundant number, since it is smaller than the sum of its proper divisors (19726138278).

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

12110231322 is a wasteful number, since it uses less digits than its factorization.

12110231322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77657 (or 77644 counting only the distinct ones).

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

Adding to 12110231322 its reverse (22313201121), we get a palindrome (34423432443).

The spelling of 12110231322 in words is "twelve billion, one hundred ten million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 294 354 378 413 441 531 826 882 1062 1239 1323 1593 2478 2646 2891 3186 3717 5782 7434 8673 11151 17346 22302 26019 52038 77573 78057 155146 156114 232719 465438 543011 698157 1086022 1396314 1629033 2094471 3258066 3801077 4188942 4576807 4887099 7602154 9153614 9774198 11403231 13730421 14661297 22806462 27460842 29322594 32037649 34209693 41191263 64075298 68419386 82382526 96112947 102629079 123573789 192225894 205258158 224263543 247147578 288338841 448527086 576677682 672790629 865016523 1345581258 1730033046 2018371887 4036743774 6055115661 12110231322