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113330023122222 = 233172231874929527
BaseRepresentation
bin11001110001001010110011…
…110001010100010100101110
3112212021020121011112201102000
4121301022303301110110232
5104323244341404402342
61041011032140113130
732604552423160014
oct3161126361242456
9485236534481360
10113330023122222
1133123aa15aa275
121086414b5357a6
134b30c8aa2c62a
141ddb2b94c28b4
15d17e922aa44c
hex6712b3c5452e

113330023122222 has 128 divisors (see below), whose sum is σ = 267878016000000. Its totient is φ = 35391993251328.

The previous prime is 113330023122161. The next prime is 113330023122223. The reversal of 113330023122222 is 222221320033311.

113330023122222 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 300 + 2 + 312 + 22 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113330023122223) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3838168023 + ... + 3838197549.

It is an arithmetic number, because the mean of its divisors is an integer number (2092797000000).

Almost surely, 2113330023122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113330023122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939008000000).

113330023122222 is an abundant number, since it is smaller than the sum of its proper divisors (154547992877778).

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

113330023122222 is a wasteful number, since it uses less digits than its factorization.

113330023122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527 (or 48521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 113330023122222 its reverse (222221320033311), we get a palindrome (335551343155533).

The spelling of 113330023122222 in words is "one hundred thirteen trillion, three hundred thirty billion, twenty-three million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 223 306 446 459 669 918 1338 2007 3791 4014 6021 7582 11373 12042 18749 22746 29527 34119 37498 56247 59054 68238 88581 102357 112494 168741 177162 204714 265743 318733 337482 501959 506223 531486 637466 797229 956199 1003918 1012446 1505877 1594458 1912398 2868597 3011754 4181027 4517631 5737194 6584521 8362054 8605791 9035262 12543081 13169042 13552893 17211582 19753563 25086162 27105786 37629243 39507126 59260689 71077459 75258486 111936857 112887729 118521378 142154918 177782067 213232377 223873714 225775458 335810571 355564134 426464754 553601723 639697131 671621142 1007431713 1107203446 1279394262 1660805169 1919091393 2014863426 3022295139 3321610338 3838182786 4982415507 6044590278 9411229291 9964831014 14947246521 18822458582 28233687873 29894493042 56467375746 84701063619 123453184229 169402127238 246906368458 254103190857 370359552687 508206381714 740719105374 1111078658061 2098704131893 2222157316122 3333235974183 4197408263786 6296112395679 6666471948366 12592224791358 18888337187037 37776674374074 56665011561111 113330023122222