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243030100 = 22526139841
BaseRepresentation
bin11100111110001…
…01100001010100
3121221022012121211
432133011201110
5444203430400
640040551204
76010502365
oct1637054124
9557265554
10243030100
11115203125
1269482504
133b4720c1
14243c3b6c
1516508dba
hexe7c5854

243030100 has 36 divisors (see below), whose sum is σ = 536034268. Its totient is φ = 95616000.

The previous prime is 243030077. The next prime is 243030101. The reversal of 243030100 is 1030342.

243030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 67043344 + 175986756 = 8188^2 + 13266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243030101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13821 + ... + 26020.

Almost surely, 2243030100 is an apocalyptic number.

243030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243030100 is an abundant number, since it is smaller than the sum of its proper divisors (293004168).

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

243030100 is a wasteful number, since it uses less digits than its factorization.

243030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39916 (or 39909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 243030100 is about 15589.4226961745. The cubic root of 243030100 is about 624.0509114992.

Adding to 243030100 its reverse (1030342), we get a palindrome (244060442).

The spelling of 243030100 in words is "two hundred forty-three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 39841 79682 159364 199205 398410 796820 996025 1992050 2430301 3984100 4860602 9721204 12151505 24303010 48606020 60757525 121515050 243030100