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123134232 = 233132931439
BaseRepresentation
bin1110101011011…
…10000100011000
322120200212102010
413111232010120
5223010243412
620115105520
73023423634
oct725560430
9276625363
10123134232
1163562631
12352a22a0
131c6836c0
14124d3dc4
15ac2433c
hex756e118

123134232 has 128 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 35320320.

The previous prime is 123134197. The next prime is 123134237. The reversal of 123134232 is 232431321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123134199 and 123134208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123134237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280269 + ... + 280707.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2123134232 is an apocalyptic number.

123134232 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 123134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408000).

123134232 is an abundant number, since it is smaller than the sum of its proper divisors (231681768).

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

123134232 is a wasteful number, since it uses less digits than its factorization.

123134232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

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

The square root of 123134232 is about 11096.5865021636. The cubic root of 123134232 is about 497.4998284555.

Adding to 123134232 its reverse (232431321), we get a palindrome (355565553).

The spelling of 123134232 in words is "one hundred twenty-three million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 31 39 52 58 62 78 87 93 104 116 124 156 174 186 232 248 312 348 372 377 403 439 696 744 754 806 878 899 1131 1209 1317 1508 1612 1756 1798 2262 2418 2634 2697 3016 3224 3512 3596 4524 4836 5268 5394 5707 7192 9048 9672 10536 10788 11414 11687 12731 13609 17121 21576 22828 23374 25462 27218 34242 35061 38193 40827 45656 46748 50924 54436 68484 70122 76386 81654 93496 101848 108872 136968 140244 152772 163308 165503 176917 280488 305544 326616 331006 353834 394661 496509 530751 662012 707668 789322 993018 1061502 1183983 1324024 1415336 1578644 1986036 2123004 2367966 3157288 3972072 4246008 4735932 5130593 9471864 10261186 15391779 20522372 30783558 41044744 61567116 123134232