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23020002124 = 22717613971997
BaseRepresentation
bin10101011100000110…
…010101101101001100
32012102022012021100021
4111130012111231030
5334121110031444
614324130311524
71443312534550
oct253406255514
965368167307
1023020002124
119843211349
1245654285a4
13222b273542
141185417860
158eae61584
hex55c195b4c

23020002124 has 96 divisors (see below), whose sum is σ = 49697069184. Its totient is φ = 9105592320.

The previous prime is 23020002091. The next prime is 23020002167. The reversal of 23020002124 is 42120002032.

It is a super-2 number, since 2×230200021242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23020002098 and 23020002107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11526294 + ... + 11528290.

It is an arithmetic number, because the mean of its divisors is an integer number (517677804).

Almost surely, 223020002124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23020002124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848534592).

23020002124 is an abundant number, since it is smaller than the sum of its proper divisors (26677067060).

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

23020002124 is a wasteful number, since it uses less digits than its factorization.

23020002124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 23020002124 its reverse (42120002032), we get a palindrome (65140004156).

The spelling of 23020002124 in words is "twenty-three billion, twenty million, two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 397 427 476 794 854 1037 1588 1708 1997 2074 2779 3994 4148 5558 6749 7259 7988 11116 13498 13979 14518 24217 26996 27958 29036 33949 47243 48434 55916 67898 94486 96868 121817 135796 169519 188972 237643 243634 339038 411689 475286 487268 678076 792809 823378 852719 950572 1585618 1646756 1705438 2070889 2881823 3171236 3410876 4141778 5549663 5763646 8283556 11099326 11527292 13477753 14496223 22198652 26955506 28992446 48361349 53911012 57984892 94344271 96722698 188688542 193445396 338529443 377377084 677058886 822142933 1354117772 1644285866 3288571732 5755000531 11510001062 23020002124