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231120000 = 273354107
BaseRepresentation
bin11011100011010…
…01110010000000
3121002220010001000
431301221302000
5433131320000
634533412000
75504326146
oct1561516200
9532803030
10231120000
11109508971
126549a000
1338b61cc7
14229a3596
1515455000
hexdc69c80

231120000 has 320 divisors, whose sum is σ = 860349600. Its totient is φ = 61056000.

The previous prime is 231119989. The next prime is 231120007. The reversal of 231120000 is 21132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (231120007) 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, 2159947 + ... + 2160053.

Almost surely, 2231120000 is an apocalyptic number.

231120000 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 231120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430174800).

231120000 is an abundant number, since it is smaller than the sum of its proper divisors (629229600).

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

231120000 is an equidigital number, since it uses as much as digits as its factorization.

231120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 231120000 is about 15202.6313511839. The cubic root of 231120000 is about 613.6854730618.

Adding to 231120000 its reverse (21132), we get a palindrome (231141132).

The spelling of 231120000 in words is "two hundred thirty-one million, one hundred twenty thousand".