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23122013112 = 23341110972957
BaseRepresentation
bin10101100010001011…
…011110101110111000
32012200102010222010000
4111202023132232320
5334323213404422
614342212553000
71445661603642
oct254213365670
965612128100
1023122013112
119895856750
124593622760
13224643c483
141194bad892
15904db1cac
hex5622debb8

23122013112 has 160 divisors (see below), whose sum is σ = 70738913520. Its totient is φ = 6997916160.

The previous prime is 23122013111. The next prime is 23122013119. The reversal of 23122013112 is 21131022132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122013111) 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 39 ways as a sum of consecutive naturals, for example, 7817938 + ... + 7820894.

Almost surely, 223122013112 is an apocalyptic number.

23122013112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35369456760).

23122013112 is an abundant number, since it is smaller than the sum of its proper divisors (47616900408).

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

23122013112 is a wasteful number, since it uses less digits than its factorization.

23122013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4070 counting only the distinct ones).

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

Adding to 23122013112 its reverse (21131022132), we get a palindrome (44253035244).

The spelling of 23122013112 in words is "twenty-three billion, one hundred twenty-two million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1097 1188 1782 2194 2376 2957 3291 3564 4388 5914 6582 7128 8776 8871 9873 11828 12067 13164 17742 19746 23656 24134 26328 26613 29619 32527 35484 36201 39492 48268 53226 59238 65054 70968 72402 78984 79839 88857 96536 97581 106452 108603 118476 130108 144804 159678 177714 195162 212904 217206 236952 239517 260216 289608 292743 319356 325809 355428 390324 434412 479034 585486 638712 651618 710856 780648 868824 878229 958068 977427 1170972 1303236 1756458 1916136 1954854 2341944 2606472 2634687 3243829 3512916 3909708 5269374 6487658 7025832 7819416 9731487 10538748 12975316 19462974 21077496 25950632 29194461 35682119 38925948 58388922 71364238 77851896 87583383 107046357 116777844 142728476 175166766 214092714 233555688 262750149 285456952 321139071 350333532 428185428 525500298 642278142 700667064 856370856 963417213 1051000596 1284556284 1926834426 2102001192 2569112568 2890251639 3853668852 5780503278 7707337704 11561006556 23122013112