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23231003112 = 2332412367523
BaseRepresentation
bin10101101000101011…
…001111100111101000
32012222000020020021200
4111220223033213220
5340034114044422
614401105004200
71451454161022
oct255053174750
965860206250
1023231003112
119941328529
124604023660
132262bacbb5
1411a5461012
1590e7402ac
hex568acf9e8

23231003112 has 144 divisors (see below), whose sum is σ = 64788659520. Its totient is φ = 7519806720.

The previous prime is 23231003093. The next prime is 23231003119. The reversal of 23231003112 is 21130013232.

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

It is not an unprimeable number, because it can be changed into a prime (23231003119) 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 35 ways as a sum of consecutive naturals, for example, 44418483 + ... + 44419005.

Almost surely, 223231003112 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 23231003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32394329760).

23231003112 is an abundant number, since it is smaller than the sum of its proper divisors (41557656408).

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

23231003112 is a wasteful number, since it uses less digits than its factorization.

23231003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23231003112 its reverse (21130013232), we get a palindrome (44361016344).

The spelling of 23231003112 in words is "twenty-three billion, two hundred thirty-one million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 367 369 492 523 734 738 984 1046 1101 1468 1476 1569 1681 2092 2202 2936 2952 3138 3303 3362 4184 4404 4707 5043 6276 6606 6724 8808 9414 10086 12552 13212 13448 15047 15129 18828 20172 21443 26424 30094 30258 37656 40344 42886 45141 60188 60516 64329 85772 90282 120376 121032 128658 135423 171544 180564 191941 192987 257316 270846 361128 383882 385974 514632 541692 575823 616927 767764 771948 879163 1083384 1151646 1233854 1535528 1543896 1727469 1758326 1850781 2303292 2467708 2637489 3454938 3516652 3701562 4606584 4935416 5274978 5552343 6909876 7033304 7403124 7869581 7912467 10549956 11104686 13819752 14806248 15739162 15824934 21099912 22209372 23608743 31478324 31649868 44418744 47217486 62956648 63299736 70826229 94434972 141652458 188869944 283304916 322652821 566609832 645305642 967958463 1290611284 1935916926 2581222568 2903875389 3871833852 5807750778 7743667704 11615501556 23231003112