Search a number
-
+
231410100 = 223521037489
BaseRepresentation
bin11011100101100…
…00100110110100
3121010102211222110
431302300212310
5433220110400
634543531020
75506645005
oct1562604664
9533384873
10231410100
11109696919
12655b9a70
1338c3406c
1422a3b1ac
15154b0e50
hexdcb09b4

231410100 has 72 divisors (see below), whose sum is σ = 676137280. Its totient is φ = 61102080.

The previous prime is 231410083. The next prime is 231410117. The reversal of 231410100 is 1014132.

It is a happy number.

231410100 is digitally balanced in base 2, 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 (231410083) and next prime (231410117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 27156 + ... + 34644.

Almost surely, 2231410100 is an apocalyptic number.

231410100 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 231410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338068640).

231410100 is an abundant number, since it is smaller than the sum of its proper divisors (444727180).

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

231410100 is a wasteful number, since it uses less digits than its factorization.

231410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 231410100 is about 15212.1694705259. The cubic root of 231410100 is about 613.9421300946.

Adding to 231410100 its reverse (1014132), we get a palindrome (232424232).

The spelling of 231410100 in words is "two hundred thirty-one million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7489 7725 10300 14978 15450 22467 29956 30900 37445 44934 74890 89868 112335 149780 187225 224670 374450 449340 561675 748900 771367 1123350 1542734 2246700 2314101 3085468 3856835 4628202 7713670 9256404 11570505 15427340 19284175 23141010 38568350 46282020 57852525 77136700 115705050 231410100