Search a number
-
+
241132100 = 225211297559
BaseRepresentation
bin11100101111101…
…10001001000100
3121210201210001112
432113312021010
5443212211400
635532144152
75655406016
oct1627661104
9553653045
10241132100
11114127130
1268908058
133ac59221
142404c1b6
1516281835
hexe5f6244

241132100 has 72 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 84649600.

The previous prime is 241132091. The next prime is 241132103. The reversal of 241132100 is 1231142.

241132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241132103) 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, 28121 + ... + 35679.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2241132100 is an apocalyptic number.

241132100 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 241132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

241132100 is an abundant number, since it is smaller than the sum of its proper divisors (349455100).

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

241132100 is a wasteful number, since it uses less digits than its factorization.

241132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 241132100 is about 15528.4287679082. The cubic root of 241132100 is about 622.4221071013.

Adding to 241132100 its reverse (1231142), we get a palindrome (242363242).

The spelling of 241132100 in words is "two hundred forty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7559 7975 15118 15950 30236 31900 37795 75590 83149 151180 166298 188975 219211 332596 377950 415745 438422 755900 831490 876844 1096055 1662980 2078725 2192110 2411321 4157450 4384220 4822642 5480275 8314900 9645284 10960550 12056605 21921100 24113210 48226420 60283025 120566050 241132100