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12321023232 = 28374353299
BaseRepresentation
bin10110111100110001…
…11110010100000000
31011210200011211102210
423132120332110000
5200213140220412
65354334142120
7614216653350
oct133630762400
934720154383
1012321023232
115252995131
12247a351940
1312148136bb
1484c504b60
154c1a3383c
hex2de63e500

12321023232 has 144 divisors (see below), whose sum is σ = 38348710400. Its totient is φ = 3438360576.

The previous prime is 12321023213. The next prime is 12321023243. The reversal of 12321023232 is 23232012321.

It is a happy number.

It is a super-2 number, since 2×123210232322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12321023199 and 12321023208.

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, 204519 + ... + 257817.

Almost surely, 212321023232 is an apocalyptic number.

12321023232 is a gapful number since it is divisible by the number (12) 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 12321023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19174355200).

12321023232 is an abundant number, since it is smaller than the sum of its proper divisors (26027687168).

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

12321023232 is an equidigital number, since it uses as much as digits as its factorization.

12321023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53368 (or 53354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12321023232 its reverse (23232012321), we get a palindrome (35553035553).

The spelling of 12321023232 in words is "twelve billion, three hundred twenty-one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 516 602 672 688 768 896 903 1032 1204 1344 1376 1792 1806 2064 2408 2688 2752 3612 4128 4816 5376 5504 7224 8256 9632 11008 14448 16512 19264 28896 33024 38528 53299 57792 77056 106598 115584 159897 213196 231168 319794 373093 426392 639588 746186 852784 1119279 1279176 1492372 1705568 2238558 2291857 2558352 2984744 3411136 4477116 4583714 5116704 5969488 6822272 6875571 8954232 9167428 10233408 11938976 13644544 13751142 16042999 17908464 18334856 20466816 23877952 27502284 32085998 35816928 36669712 40933632 47755904 48128997 55004568 64171996 71633856 73339424 95511808 96257994 110009136 128343992 143267712 146678848 192515988 220018272 256687984 286535424 293357696 385031976 440036544 513375968 586715392 770063952 880073088 1026751936 1540127904 1760146176 2053503872 3080255808 4107007744 6160511616 12321023232