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12330203232 = 253375365497
BaseRepresentation
bin10110111101110111…
…11111100001100000
31011211022110020000210
423132323333201200
5200223013000412
65355303014120
7614360666244
oct133673774140
934738406023
1012330203232
115258095206
12248143a340
1312166a8c59
1484d814424
154c274883c
hex2deeff860

12330203232 has 96 divisors (see below), whose sum is σ = 33869277792. Its totient is φ = 3923472384.

The previous prime is 12330203227. The next prime is 12330203261. The reversal of 12330203232 is 23230203321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12330203199 and 12330203208.

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, 155508 + ... + 221004.

It is an arithmetic number, because the mean of its divisors is an integer number (352804977).

Almost surely, 212330203232 is an apocalyptic number.

12330203232 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 12330203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934638896).

12330203232 is an abundant number, since it is smaller than the sum of its proper divisors (21539074560).

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

12330203232 is a wasteful number, since it uses less digits than its factorization.

12330203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65600 (or 65592 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12330203232 its reverse (23230203321), we get a palindrome (35560406553).

The spelling of 12330203232 in words is "twelve billion, three hundred thirty million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 296 318 424 444 592 636 848 888 1184 1272 1696 1776 1961 2544 3552 3922 5088 5883 7844 11766 15688 23532 31376 47064 62752 65497 94128 130994 188256 196491 261988 392982 523976 785964 1047952 1571928 2095904 2423389 3143856 3471341 4846778 6287712 6942682 7270167 9693556 10414023 13885364 14540334 19387112 20828046 27770728 29080668 38774224 41656092 55541456 58161336 77548448 83312184 111082912 116322672 128439617 166624368 232645344 256879234 333248736 385318851 513758468 770637702 1027516936 1541275404 2055033872 3082550808 4110067744 6165101616 12330203232