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231120032 = 251113172971
BaseRepresentation
bin11011100011010…
…01110010100000
3121002220010002012
431301221302200
5433131320112
634533412052
75504326223
oct1561516240
9532803065
10231120032
111095089a0
126549a028
1338b62020
14229a35ba
1515455022
hexdc69ca0

231120032 has 96 divisors (see below), whose sum is σ = 566201664. Its totient is φ = 91238400.

The previous prime is 231120023. The next prime is 231120037. The reversal of 231120032 is 230021132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 231119989 and 231120016.

It is not an unprimeable number, because it can be changed into a prime (231120037) 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 15 ways as a sum of consecutive naturals, for example, 76307 + ... + 79277.

It is an arithmetic number, because the mean of its divisors is an integer number (5897934).

Almost surely, 2231120032 is an apocalyptic number.

231120032 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 231120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283100832).

231120032 is an abundant number, since it is smaller than the sum of its proper divisors (335081632).

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

231120032 is a wasteful number, since it uses less digits than its factorization.

231120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 231120032 is about 15202.6324036333. The cubic root of 231120032 is about 613.6855013847.

Adding to 231120032 its reverse (230021132), we get a palindrome (461141164).

The spelling of 231120032 in words is "two hundred thirty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 748 884 1144 1496 1768 2288 2431 2971 2992 3536 4576 4862 5942 5984 7072 9724 11884 19448 23768 32681 38623 38896 47536 50507 65362 77246 77792 95072 101014 130724 154492 202028 261448 308984 404056 424853 522896 555577 617968 656591 808112 849706 1045792 1111154 1235936 1313182 1616224 1699412 2222308 2626364 3398824 4444616 5252728 6797648 7222501 8889232 10505456 13595296 14445002 17778464 21010912 28890004 57780008 115560016 231120032