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231342100 = 2252111911069
BaseRepresentation
bin11011100101000…
…00000000010100
3121010022101200221
431302200000110
5433210421400
634542244124
75506242523
oct1562400024
9533271627
10231342100
1110964a820
1265586644
1338c0c122
1422a204ba
151549ac1a
hexdca0014

231342100 has 72 divisors (see below), whose sum is σ = 576525600. Its totient is φ = 79689600.

The previous prime is 231342079. The next prime is 231342101. The reversal of 231342100 is 1243132.

It is a happy number.

231342100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231342101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15366 + ... + 26434.

It is an arithmetic number, because the mean of its divisors is an integer number (8007300).

Almost surely, 2231342100 is an apocalyptic number.

231342100 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 231342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288262800).

231342100 is an abundant number, since it is smaller than the sum of its proper divisors (345183500).

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

231342100 is a wasteful number, since it uses less digits than its factorization.

231342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231342100 is about 15209.9342536383. The cubic root of 231342100 is about 613.8819884460.

Adding to 231342100 its reverse (1243132), we get a palindrome (232585232).

The spelling of 231342100 in words is "two hundred thirty-one million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 11069 20900 22138 44276 55345 110690 121759 210311 221380 243518 276725 420622 487036 553450 608795 841244 1051555 1106900 1217590 2103110 2313421 2435180 3043975 4206220 4626842 5257775 6087950 9253684 10515550 11567105 12175900 21031100 23134210 46268420 57835525 115671050 231342100