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123233330023232 = 26111363012136991
BaseRepresentation
bin11100000001010001111110…
…110111000100101101000000
3121011022222202122122121100212
4130001101332313010231000
5112123023324441220412
61114032335452333252
734646212541002532
oct3401217667045500
9534288678577325
10123233330023232
11362a1a64125930
12119a3540a74228
13539bb12505880
14226074c845852
15e3a8ad47b222
hex70147edc4b40

123233330023232 has 112 divisors (see below), whose sum is σ = 287338815988224. Its totient is φ = 51698062080000.

The previous prime is 123233330023217. The next prime is 123233330023333. The reversal of 123233330023232 is 232320033332321.

It is a super-2 number, since 2×1232333300232322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56598257 + ... + 58735247.

It is an arithmetic number, because the mean of its divisors is an integer number (2565525142752).

Almost surely, 2123233330023232 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 123233330023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143669407994112).

123233330023232 is an abundant number, since it is smaller than the sum of its proper divisors (164105485964992).

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

123233330023232 is a wasteful number, since it uses less digits than its factorization.

123233330023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143328 (or 2143318 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 32.

Adding to 123233330023232 its reverse (232320033332321), we get a palindrome (355553363355553).

The spelling of 123233330023232 in words is "one hundred twenty-three trillion, two hundred thirty-three billion, three hundred thirty million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 6301 9152 12602 25204 50408 69311 81913 100816 138622 163826 201632 277244 327652 403264 554488 655304 901043 1108976 1310608 1802086 2136991 2217952 2621216 3604172 4273982 4435904 5242432 7208344 8547964 14416688 17095928 23506901 27780883 28833376 34191856 47013802 55561766 57666752 68383712 94027604 111123532 136767424 188055208 222247064 305589713 376110416 444494128 611179426 752220832 888988256 1222358852 1504441664 1777976512 2444717704 4889435408 9778870816 13465180291 19557741632 26930360582 53860721164 107721442328 148116983201 175047343783 215442884656 296233966402 350094687566 430885769312 592467932804 700189375132 861771538624 1184935865608 1400378750264 1925520781613 2369871731216 2800757500528 3851041563226 4739743462432 5601515001056 7702083126452 9479486924864 11203030002112 15404166252904 30808332505808 61616665011616 123233330023232