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231324012 = 22341953709
BaseRepresentation
bin11011100100110…
…11100101101100
3121010021110220000
431302123211230
5433204332022
634542024300
75506136013
oct1562334554
9533243800
10231324012
11109638177
1265578090
1338c03b1a
1422a17a7a
15154956ac
hexdc9b96c

231324012 has 120 divisors (see below), whose sum is σ = 649479600. Its totient is φ = 71570304.

The previous prime is 231323971. The next prime is 231324013. The reversal of 231324012 is 210423132.

231324012 is a `hidden beast` number, since 231 + 32 + 401 + 2 = 666.

It is a super-2 number, since 2×2313240122 = 107021597055552288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231324013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325914 + ... + 326622.

It is an arithmetic number, because the mean of its divisors is an integer number (5412330).

Almost surely, 2231324012 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 231324012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324739800).

231324012 is an abundant number, since it is smaller than the sum of its proper divisors (418155588).

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

231324012 is a wasteful number, since it uses less digits than its factorization.

231324012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231324012 is about 15209.3396306349. The cubic root of 231324012 is about 613.8659887832.

Adding to 231324012 its reverse (210423132), we get a palindrome (441747144).

The spelling of 231324012 in words is "two hundred thirty-one million, three hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 53 54 57 76 81 106 108 114 159 162 171 212 228 318 324 342 477 513 636 684 709 954 1007 1026 1418 1431 1539 1908 2014 2052 2127 2836 2862 3021 3078 4028 4254 4293 5724 6042 6156 6381 8508 8586 9063 12084 12762 13471 17172 18126 19143 25524 26942 27189 36252 37577 38286 40413 53884 54378 57429 75154 76572 80826 81567 108756 112731 114858 121239 150308 161652 163134 225462 229716 242478 326268 338193 363717 450924 484956 676386 713963 727434 1014579 1091151 1352772 1427926 1454868 2029158 2141889 2182302 2855852 3043737 4058316 4283778 4364604 6087474 6425667 8567556 12174948 12851334 19277001 25702668 38554002 57831003 77108004 115662006 231324012