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231144100 = 225211210131
BaseRepresentation
bin11011100011011…
…11101010100100
3121002221100002121
431301233222210
5433133102400
634534115324
75504456335
oct1561575244
9532840077
10231144100
11109524a90
12654abb44
1338b6cc75
14229ac28c
151545c21a
hexdc6faa4

231144100 has 36 divisors (see below), whose sum is σ = 547183728. Its totient is φ = 84052000.

The previous prime is 231144097. The next prime is 231144103. The reversal of 231144100 is 1441132.

231144100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231144097) and next prime (231144103).

It is not an unprimeable number, because it can be changed into a prime (231144103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103966 + ... + 106165.

It is an arithmetic number, because the mean of its divisors is an integer number (15199548).

Almost surely, 2231144100 is an apocalyptic number.

231144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231144100 is an abundant number, since it is smaller than the sum of its proper divisors (316039628).

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

231144100 is a wasteful number, since it uses less digits than its factorization.

231144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210156 (or 210149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 231144100 is about 15203.4239564645. The cubic root of 231144100 is about 613.7068029710.

Adding to 231144100 its reverse (1441132), we get a palindrome (232585232).

The spelling of 231144100 in words is "two hundred thirty-one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 210131 420262 840524 1050655 2101310 2311441 4202620 4622882 5253275 9245764 10506550 11557205 21013100 23114410 46228820 57786025 115572050 231144100