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23242032132 = 22311315996269
BaseRepresentation
bin10101101001010101…
…010100010000000100
32012222202222120020220
4111221111110100010
5340044430012012
614402141224340
71451650004424
oct255125242004
965882876226
1023242032132
119947580820
1246078620b0
132265271c47
1411a6ad2484
159106bd08c
hex569554404

23242032132 has 96 divisors (see below), whose sum is σ = 62105702400. Its totient is φ = 6700252800.

The previous prime is 23242032127. The next prime is 23242032133. The reversal of 23242032132 is 23123024232.

It is not an unprimeable number, because it can be changed into a prime (23242032133) 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, 193294 + ... + 289562.

It is an arithmetic number, because the mean of its divisors is an integer number (646934400).

Almost surely, 223242032132 is an apocalyptic number.

23242032132 is a gapful number since it is divisible by the number (22) 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 23242032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31052851200).

23242032132 is an abundant number, since it is smaller than the sum of its proper divisors (38863670268).

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

23242032132 is a wasteful number, since it uses less digits than its factorization.

23242032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96377 (or 96375 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23242032132 its reverse (23123024232), we get a palindrome (46365056364).

The spelling of 23242032132 in words is "twenty-three billion, two hundred forty-two million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 59 62 66 93 118 124 132 177 186 236 341 354 372 649 682 708 1023 1298 1364 1829 1947 2046 2596 3658 3894 4092 5487 7316 7788 10974 20119 21948 40238 60357 80476 96269 120714 192538 241428 288807 385076 577614 1058959 1155228 2117918 2984339 3176877 4235836 5679871 5968678 6353754 8953017 11359742 11937356 12707508 17039613 17906034 22719484 32827729 34079226 35812068 62478581 65655458 68158452 98483187 124957162 131310916 176076001 187435743 196966374 249914324 352152002 374871486 393932748 528228003 704304004 749742972 1056456006 1936836011 2112912012 3873672022 5810508033 7747344044 11621016066 23242032132