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231041100 = 223527110847
BaseRepresentation
bin11011100010101…
…10100001001100
3121002202002210210
431301112201030
5433121303400
634532002420
75503550133
oct1561264114
9532662723
10231041100
11109464664
1265460410
1338b35114
142298291a
151543b950
hexdc5684c

231041100 has 72 divisors (see below), whose sum is σ = 677956608. Its totient is φ = 60737600.

The previous prime is 231041081. The next prime is 231041117. The reversal of 231041100 is 1140132.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15877 + ... + 26723.

It is an arithmetic number, because the mean of its divisors is an integer number (9416064).

Almost surely, 2231041100 is an apocalyptic number.

231041100 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 231041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338978304).

231041100 is an abundant number, since it is smaller than the sum of its proper divisors (446915508).

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

231041100 is a wasteful number, since it uses less digits than its factorization.

231041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10928 counting only the distinct ones).

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

The square root of 231041100 is about 15200.0361841675. The cubic root of 231041100 is about 613.6156315729.

Adding to 231041100 its reverse (1140132), we get a palindrome (232181232).

The spelling of 231041100 in words is "two hundred thirty-one million, forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 10847 21300 21694 32541 43388 54235 65082 108470 130164 162705 216940 271175 325410 542350 650820 770137 813525 1084700 1540274 1627050 2310411 3080548 3254100 3850685 4620822 7701370 9241644 11552055 15402740 19253425 23104110 38506850 46208220 57760275 77013700 115520550 231041100