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23013343122 = 23711178113613
BaseRepresentation
bin10101011011101100…
…111011111110010010
32012101211122221220120
4111123230323332102
5334112403434442
614323331451110
71443202121550
oct253354737622
965354587816
1023013343122
11983a483340
124563156a96
132229a815c3
1411845a2bd0
158ea5984ec
hex55bb3bf92

23013343122 has 128 divisors (see below), whose sum is σ = 60851202048. Its totient is φ = 5617382400.

The previous prime is 23013343109. The next prime is 23013343123. The reversal of 23013343122 is 22134331032.

It is a super-2 number, since 2×230133431222 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23013343092 and 23013343101.

It is not an unprimeable number, because it can be changed into a prime (23013343123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6367788 + ... + 6371400.

It is an arithmetic number, because the mean of its divisors is an integer number (475400016).

Almost surely, 223013343122 is an apocalyptic number.

23013343122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013343122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30425601024).

23013343122 is an abundant number, since it is smaller than the sum of its proper divisors (37837858926).

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

23013343122 is a wasteful number, since it uses less digits than its factorization.

23013343122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23013343122 its reverse (22134331032), we get a palindrome (45147674154).

The spelling of 23013343122 in words is "twenty-three billion, thirteen million, three hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 811 1122 1309 1622 2433 2618 3613 3927 4866 5677 7226 7854 8921 10839 11354 13787 17031 17842 21678 25291 26763 27574 34062 39743 41361 50582 53526 61421 62447 75873 79486 82722 96509 119229 122842 124894 151657 151746 184263 187341 193018 238458 278201 289527 303314 368526 374682 429947 454971 556402 579054 675631 834603 859894 909942 1061599 1289841 1351262 1669206 2026893 2123198 2579682 2930143 3184797 4053786 4729417 5860286 6369594 8790429 9458834 14188251 17580858 20511001 28376502 32231573 41022002 49812431 61533003 64463146 96694719 99624862 123066006 149437293 193389438 225621011 298874586 348687017 451242022 547936741 676863033 697374034 1046061051 1095873482 1353726066 1643810223 2092122102 3287620446 3835557187 7671114374 11506671561 23013343122