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123020332232 = 237195316713063
BaseRepresentation
bin111001010010010010…
…1010100110011001000
3102202112111110101102012
41302210211110303020
54003421201112412
6132303104355052
711613362366510
oct1624445246310
9382474411365
10123020332232
1148199852466
121ba13315a88
13b7a6b6a2c5
145d50522840
153300213c22
hex1ca4954cc8

123020332232 has 128 divisors (see below), whose sum is σ = 284439859200. Its totient is φ = 48708511488.

The previous prime is 123020332223. The next prime is 123020332247. The reversal of 123020332232 is 232233020321.

It is a junction number, because it is equal to n+sod(n) for n = 123020332198 and 123020332207.

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, 9410933 + ... + 9423995.

It is an arithmetic number, because the mean of its divisors is an integer number (2222186400).

Almost surely, 2123020332232 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 123020332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142219929600).

123020332232 is an abundant number, since it is smaller than the sum of its proper divisors (161419526968).

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

123020332232 is a wasteful number, since it uses less digits than its factorization.

123020332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 123020332232 its reverse (232233020321), we get a palindrome (355253352553).

The spelling of 123020332232 in words is "one hundred twenty-three billion, twenty million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 106 133 152 167 212 266 334 371 424 532 668 742 1007 1064 1169 1336 1484 2014 2338 2968 3173 4028 4676 6346 7049 8056 8851 9352 12692 13063 14098 17702 22211 25384 26126 28196 35404 44422 52252 56392 61957 70808 88844 91441 104504 123914 168169 177688 182882 247828 248197 336338 365764 495656 496394 672676 692339 731528 992788 1177183 1345352 1384678 1737379 1985576 2181521 2354366 2769356 3474758 4363042 4708732 4846373 5538712 6949516 8726084 9417464 9692746 13154441 13899032 15270647 17452168 19385492 26308882 30541294 38770984 41448899 52617764 61082588 82897798 92081087 105235528 115620613 122165176 165795596 184162174 231241226 290142293 331591192 368324348 462482452 580284586 736648696 809344291 924964904 1160569172 1618688582 2196791647 2321138344 3237377164 4393583294 6474754328 8787166588 15377541529 17574333176 30755083058 61510166116 123020332232