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23021032120 = 23517234334231
BaseRepresentation
bin10101011100001010…
…010001001010111000
32012102101010121020021
4111130022101022320
5334121341011440
614324204340224
71443324354502
oct253412211270
965371117207
1023021032120
119843855189
124565844674
13222b5442c8
141185604d72
158eb0b684a
hex55c2912b8

23021032120 has 128 divisors (see below), whose sum is σ = 58561367040. Its totient is φ = 8096901120.

The previous prime is 23021032117. The next prime is 23021032121. The reversal of 23021032120 is 2123012032.

It is a junction number, because it is equal to n+sod(n) for n = 23021032094 and 23021032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23021032121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655405 + ... + 689635.

It is an arithmetic number, because the mean of its divisors is an integer number (457510680).

Almost surely, 223021032120 is an apocalyptic number.

23021032120 is a gapful number since it is divisible by the number (20) 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 23021032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280683520).

23021032120 is an abundant number, since it is smaller than the sum of its proper divisors (35540334920).

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

23021032120 is a wasteful number, since it uses less digits than its factorization.

23021032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34325 (or 34321 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23021032120 its reverse (2123012032), we get a palindrome (25144044152).

The spelling of 23021032120 in words is "twenty-three billion, twenty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 43 46 68 85 86 92 115 136 170 172 184 215 230 340 344 391 430 460 680 731 782 860 920 989 1462 1564 1720 1955 1978 2924 3128 3655 3910 3956 4945 5848 7310 7820 7912 9890 14620 15640 16813 19780 29240 33626 34231 39560 67252 68462 84065 134504 136924 168130 171155 273848 336260 342310 581927 672520 684620 787313 1163854 1369240 1471933 1574626 2327708 2909635 2943866 3149252 3936565 4655416 5819270 5887732 6298504 7359665 7873130 11638540 11775464 13384321 14719330 15746260 23277080 25022861 26768642 29438660 31492520 33854459 50045722 53537284 58877320 66921605 67708918 100091444 107074568 125114305 133843210 135417836 169272295 200182888 250228610 267686420 270835672 338544590 500457220 535372840 575525803 677089180 1000914440 1151051606 1354178360 2302103212 2877629015 4604206424 5755258030 11510516060 23021032120