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231351120 = 2433571113107
BaseRepresentation
bin11011100101000…
…10001101010000
3121010022212002000
431302202031100
5433211213440
634542354000
75506311030
oct1562421520
9533285060
10231351120
11109656580
126558b900
1338c13270
1422a238c0
151549d730
hexdca2350

231351120 has 640 divisors, whose sum is σ = 1079930880. Its totient is φ = 43960320.

The previous prime is 231351119. The next prime is 231351149. The reversal of 231351120 is 21153132.

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

It is a junction number, because it is equal to n+sod(n) for n = 231351093 and 231351102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162107 + ... + 2162213.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2231351120 is an apocalyptic number.

231351120 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 231351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

231351120 is an abundant number, since it is smaller than the sum of its proper divisors (848579760).

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

231351120 is a wasteful number, since it uses less digits than its factorization.

231351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 231351120 is about 15210.2307674802. The cubic root of 231351120 is about 613.8899667367.

The spelling of 231351120 in words is "two hundred thirty-one million, three hundred fifty-one thousand, one hundred twenty".