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23031033312 = 2537219257687
BaseRepresentation
bin10101011100110000…
…011010110111100000
32012110001221201021210
4111130300122313200
5334131421031222
614325202550120
71443505360500
oct253460326740
965401851253
1023031033312
119849466231
124569068340
132230636581
141186a89a00
158ebdded0c
hex55cc1ade0

23031033312 has 144 divisors (see below), whose sum is σ = 74028608640. Its totient is φ = 6233939712.

The previous prime is 23031033299. The next prime is 23031033317. The reversal of 23031033312 is 21333013032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031033317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39468 + ... + 218219.

It is an arithmetic number, because the mean of its divisors is an integer number (514087560).

Almost surely, 223031033312 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 23031033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37014304320).

23031033312 is an abundant number, since it is smaller than the sum of its proper divisors (50997575328).

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

23031033312 is a wasteful number, since it uses less digits than its factorization.

23031033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257733 (or 257718 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23031033312 its reverse (21333013032), we get a palindrome (44364046344).

The spelling of 23031033312 in words is "twenty-three billion, thirty-one million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 14896 22344 29792 44688 89376 257687 515374 773061 1030748 1546122 1803809 2061496 3092244 3607618 4122992 4896053 5411427 6184488 7215236 8245984 9792106 10822854 12368976 12626663 14430472 14688159 19584212 21645708 24737952 25253326 28860944 29376318 34272371 37879989 39168424 43291416 50506652 57721888 58752636 68544742 75759978 78336848 86582832 101013304 102817113 117505272 137089484 151519956 156673696 173165664 202026608 205634226 235010544 239906597 274178968 303039912 404053216 411268452 470021088 479813194 548357936 606079824 719719791 822536904 959626388 1096715872 1212159648 1439439582 1645073808 1919252776 2878879164 3290147616 3838505552 5757758328 7677011104 11515516656 23031033312