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12332023220 = 22511299719927
BaseRepresentation
bin10110111110000101…
…11011110110110100
31011211102212200120202
423133002323312310
5200223444220340
65355410020032
7614412316316
oct133702736664
934742780522
1012332023220
115259118630
122481b77618
131216b9547a
1484db697b6
154c29a7c15
hex2df0bbdb4

12332023220 has 96 divisors (see below), whose sum is σ = 29528513280. Its totient is φ = 4284887040.

The previous prime is 12332023213. The next prime is 12332023259. The reversal of 12332023220 is 2232023321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12332023192 and 12332023201.

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, 608897 + ... + 628823.

It is an arithmetic number, because the mean of its divisors is an integer number (307588680).

Almost surely, 212332023220 is an apocalyptic number.

12332023220 is a gapful number since it is divisible by the number (10) 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 12332023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764256640).

12332023220 is an abundant number, since it is smaller than the sum of its proper divisors (17196490060).

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

12332023220 is a wasteful number, since it uses less digits than its factorization.

12332023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20073 (or 20071 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12332023220 its reverse (2232023321), we get a palindrome (14564046541).

The spelling of 12332023220 in words is "twelve billion, three hundred thirty-two million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 97 110 116 145 194 220 290 319 388 485 580 638 970 1067 1276 1595 1940 2134 2813 3190 4268 5335 5626 6380 10670 11252 14065 19927 21340 28130 30943 39854 56260 61886 79708 99635 123772 154715 199270 219197 309430 398540 438394 577883 618860 876788 1095985 1155766 1932919 2191970 2311532 2889415 3865838 4383940 5778830 6356713 7731676 9664595 11557660 12713426 19329190 21262109 25426852 31783565 38658380 42524218 56054651 63567130 85048436 106310545 112109302 127134260 212621090 224218604 280273255 425242180 560546510 616601161 1121093020 1233202322 2466404644 3083005805 6166011610 12332023220