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10114042104 = 233388153149
BaseRepresentation
bin10010110101101100…
…00000100011111000
3222002212100120111000
421122312000203320
5131203143321404
64351335005000
7505430640135
oct113266004370
928085316430
1010114042104
114320127591
121b63209760
13c525095ca
146bd36b58c
153e2dd8339
hex25ad808f8

10114042104 has 64 divisors (see below), whose sum is σ = 28126980000. Its totient is φ = 3367457280.

The previous prime is 10114042097. The next prime is 10114042111. The reversal of 10114042104 is 40124041101.

10114042104 is a `hidden beast` number, since 101 + 140 + 421 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10114042097) and next prime (10114042111).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163722 + ... + 216870.

Almost surely, 210114042104 is an apocalyptic number.

It is an amenable number.

10114042104 is an abundant number, since it is smaller than the sum of its proper divisors (18012937896).

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

10114042104 is a wasteful number, since it uses less digits than its factorization.

10114042104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54045 (or 54035 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10114042104 its reverse (40124041101), we get a palindrome (50238083205).

The spelling of 10114042104 in words is "ten billion, one hundred fourteen million, forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 881 1762 2643 3524 5286 7048 7929 10572 15858 21144 23787 31716 47574 53149 63432 95148 106298 159447 190296 212596 318894 425192 478341 637788 956682 1275576 1435023 1913364 2870046 3826728 5740092 11480184 46824269 93648538 140472807 187297076 280945614 374594152 421418421 561891228 842836842 1123782456 1264255263 1685673684 2528510526 3371347368 5057021052 10114042104