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21122110110123 = 3411291207367709
BaseRepresentation
bin1001100110101110111111…
…10111101011100110101011
32202210020212011121020120000
410303113133313223212223
510232031040142010443
6112531210300034043
74310010402415611
oct463273767534653
982706764536500
1021122110110123
116803922561010
122451733b32923
13ba2a639844b9
1453045bd696b1
1526967b9658d3
hex1335dfdeb9ab

21122110110123 has 80 divisors (see below), whose sum is σ = 35611630322400. Its totient is φ = 12358649157120.

The previous prime is 21122110110113. The next prime is 21122110110133. The reversal of 21122110110123 is 32101101122112.

It is a happy number.

21122110110123 is a `hidden beast` number, since 211 + 221 + 1 + 0 + 110 + 123 = 666.

It is an interprime number because it is at equal distance from previous prime (21122110110113) and next prime (21122110110133).

It is not a de Polignac number, because 21122110110123 - 216 = 21122110044587 is a prime.

It is a super-2 number, since 2×211221101101232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122110110096 and 21122110110105.

It is not an unprimeable number, because it can be changed into a prime (21122110110113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 311920393 + ... + 311988101.

It is an arithmetic number, because the mean of its divisors is an integer number (445145379030).

Almost surely, 221122110110123 is an apocalyptic number.

21122110110123 is a deficient number, since it is larger than the sum of its proper divisors (14489520212277).

21122110110123 is a wasteful number, since it uses less digits than its factorization.

21122110110123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79834 (or 79825 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21122110110123 its reverse (32101101122112), we get a palindrome (53223211232235).

The spelling of 21122110110123 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred ten thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 2349 2871 8613 12073 25839 36219 67709 108657 132803 203127 325971 350117 398409 609381 744799 977913 1050351 1195227 1828143 1963561 2234397 3151053 3585681 3851287 5484429 5890683 6703191 9453159 10757043 11553861 17672049 20109573 21599171 28359477 34661583 53016147 60328719 64797513 103984749 159048441 194392539 311954247 583177617 817450757 1749532851 2452352271 7357056813 8991958327 22071170439 23706071953 26975874981 66213511317 71118215859 80927624943 213354647577 242782874829 260766791483 640063942731 728348624487 782300374449 1920191828193 2346901123347 7040703370041 21122110110123