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110232233221 = 11173153499719
BaseRepresentation
bin110011010101001011…
…0100110010100000101
3101112112021101122110111
41212222112212110011
53301223422430341
6122350123153021
710651441344145
oct1465226462405
9345467348414
10110232233221
11428272493a0
1219444675771
13a51965b806
145499d96925
152d026bc681
hex19aa5a6505

110232233221 has 64 divisors (see below), whose sum is σ = 134369280000. Its totient is φ = 89247974400.

The previous prime is 110232233219. The next prime is 110232233227. The reversal of 110232233221 is 122332232011.

It is a cyclic number.

It is not a de Polignac number, because 110232233221 - 21 = 110232233219 is a prime.

It is a super-2 number, since 2×1102322332212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110232233192 and 110232233201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110232233227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153312900 + ... + 153313618.

It is an arithmetic number, because the mean of its divisors is an integer number (2099520000).

Almost surely, 2110232233221 is an apocalyptic number.

110232233221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110232233221 is a deficient number, since it is larger than the sum of its proper divisors (24137046779).

110232233221 is a wasteful number, since it uses less digits than its factorization.

110232233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 110232233221 its reverse (122332232011), we get a palindrome (232564465232).

The spelling of 110232233221 in words is "one hundred ten billion, two hundred thirty-two million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 11 17 31 53 187 341 499 527 583 719 901 1643 5489 5797 7909 8483 9911 12223 15469 18073 22289 26447 27931 38107 93313 134453 170159 245179 262973 290917 307241 358781 378913 419177 449599 647819 819857 1181317 2892703 3946591 4168043 4945589 6099277 7126009 9018427 11122211 12994487 13937569 19015393 20082389 67092047 122344321 153313259 189077587 209169323 220906279 323261681 589477183 2079853457 3555878491 6484249013 10021112111 110232233221