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231231120 = 24351815323
BaseRepresentation
bin11011100100001…
…00111010010000
3121010002202110120
431302010322100
5433143343440
634540030240
75505301131
oct1562047220
9533082416
10231231120
111095843aa
1265532380
1338ba0763
14229d1c88
1515477dd0
hexdc84e90

231231120 has 80 divisors (see below), whose sum is σ = 720912192. Its totient is φ = 61309440.

The previous prime is 231231107. The next prime is 231231131. The reversal of 231231120 is 21132132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231231120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40779 + ... + 46101.

Almost surely, 2231231120 is an apocalyptic number.

231231120 is a gapful number since it is divisible by the number (20) 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 231231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360456096).

231231120 is an abundant number, since it is smaller than the sum of its proper divisors (489681072).

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

231231120 is a wasteful number, since it uses less digits than its factorization.

231231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 231231120 is about 15206.2855424985. The cubic root of 231231120 is about 613.7838084199.

Adding to 231231120 its reverse (21132132), we get a palindrome (252363252).

The spelling of 231231120 in words is "two hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5323 5430 7240 8688 10646 10860 14480 15969 21292 21720 26615 31938 42584 43440 53230 63876 79845 85168 106460 127752 159690 212920 255504 319380 425840 638760 963463 1277520 1926926 2890389 3853852 4817315 5780778 7707704 9634630 11561556 14451945 15415408 19269260 23123112 28903890 38538520 46246224 57807780 77077040 115615560 231231120