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23213024112344 = 231119233071966207
BaseRepresentation
bin1010100011100101101000…
…00011100110111011011000
310001012010212120011220222112
411101302310003212323120
511020310233133043334
6121211525511411452
74614041243245013
oct521626403467330
9101163776156875
1023213024112344
11743a651a49320
12272aa0a983b88
13cc4c954c7951
145a3732c7a37a
152a3c561654ce
hex151cb40e6ed8

23213024112344 has 128 divisors (see below), whose sum is σ = 52323154329600. Its totient is φ = 9530279130240.

The previous prime is 23213024112263. The next prime is 23213024112373. The reversal of 23213024112344 is 44321142031232.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23213024112344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10822889 + ... + 12789095.

It is an arithmetic number, because the mean of its divisors is an integer number (408774643200).

Almost surely, 223213024112344 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 23213024112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26161577164800).

23213024112344 is an abundant number, since it is smaller than the sum of its proper divisors (29110130217256).

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

23213024112344 is a wasteful number, since it uses less digits than its factorization.

23213024112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966573 (or 1966569 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 23213024112344 its reverse (44321142031232), we get a palindrome (67534166143576).

The spelling of 23213024112344 in words is "twenty-three trillion, two hundred thirteen billion, twenty-four million, one hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 307 418 437 506 614 836 874 1012 1228 1672 1748 2024 2456 3377 3496 4807 5833 6754 7061 9614 11666 13508 14122 19228 23332 27016 28244 38456 46664 56488 64163 77671 128326 134159 155342 256652 268318 310684 513304 536636 621368 1073272 1475749 1966207 2951498 3932414 5902996 7864828 11805992 15729656 21628277 37357933 43256554 45222761 74715866 86513108 90445522 149431732 173026216 180891044 298863464 361782088 410937263 497450371 603625549 821874526 859232459 994900742 1207251098 1643749052 1718464918 1989801484 2414502196 3287498104 3436929836 3979602968 4829004392 6639881039 6873859672 9451557049 11468885431 13279762078 13883387627 18903114098 22937770862 26559524156 27766775254 37806228196 45875541724 53119048312 55533550508 75612456392 91751083448 111067101016 126157739741 152717263897 252315479482 263784364913 305434527794 504630958964 527568729826 610869055588 1009261917928 1055137459652 1221738111176 2110274919304 2901628014043 5803256028086 11606512056172 23213024112344