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231231132 = 2233111511289
BaseRepresentation
bin11011100100001…
…00111010011100
3121010002202111000
431302010322130
5433143344012
634540030300
75505301146
oct1562047234
9533082430
10231231132
11109584410
1265532390
1338ba0772
14229d1c96
1515477ddc
hexdc84e9c

231231132 has 96 divisors (see below), whose sum is σ = 658828800. Its totient is φ = 69552000.

The previous prime is 231231131. The next prime is 231231151. The reversal of 231231132 is 231132132.

231231132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231231131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178744 + ... + 180032.

It is an arithmetic number, because the mean of its divisors is an integer number (6862800).

Almost surely, 2231231132 is an apocalyptic number.

231231132 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 231231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329414400).

231231132 is an abundant number, since it is smaller than the sum of its proper divisors (427597668).

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

231231132 is a wasteful number, since it uses less digits than its factorization.

231231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 231231132 is about 15206.2859370722. The cubic root of 231231132 is about 613.7838190376.

Adding to 231231132 its reverse (231132132), we get a palindrome (462363264).

The spelling of 231231132 in words is "two hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 151 198 297 302 396 453 594 604 906 1188 1289 1359 1661 1812 2578 2718 3322 3867 4077 4983 5156 5436 6644 7734 8154 9966 11601 14179 14949 15468 16308 19932 23202 28358 29898 34803 42537 44847 46404 56716 59796 69606 85074 89694 127611 139212 170148 179388 194639 255222 382833 389278 510444 583917 765666 778556 1167834 1531332 1751751 2141029 2335668 3503502 4282058 5255253 6423087 7007004 8564116 10510506 12846174 19269261 21021012 25692348 38538522 57807783 77077044 115615566 231231132