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231232100 = 225211316781
BaseRepresentation
bin11011100100001…
…01001001100100
3121010002210210212
431302011021210
5433143411400
634540034552
75505304031
oct1562051144
9533083725
10231232100
11109585110
1265532a58
1338ba1038
14229d2388
1515478335
hexdc85264

231232100 has 72 divisors (see below), whose sum is σ = 565130496. Its totient is φ = 81360000.

The previous prime is 231232097. The next prime is 231232117. The reversal of 231232100 is 1232132.

It is a happy number.

231232100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30710 + ... + 37490.

Almost surely, 2231232100 is an apocalyptic number.

231232100 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 231232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282565248).

231232100 is an abundant number, since it is smaller than the sum of its proper divisors (333898396).

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

231232100 is a wasteful number, since it uses less digits than its factorization.

231232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 231232100 is about 15206.3177659813. The cubic root of 231232100 is about 613.7846755282.

Adding to 231232100 its reverse (1232132), we get a palindrome (232464232).

The spelling of 231232100 in words is "two hundred thirty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6781 6820 8525 13562 17050 27124 33905 34100 67810 74591 135620 149182 169525 210211 298364 339050 372955 420422 678100 745910 840844 1051055 1491820 1864775 2102110 2312321 3729550 4204220 4624642 5255275 7459100 9249284 10510550 11561605 21021100 23123210 46246420 57808025 115616050 231232100