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242553313 is a prime number
BaseRepresentation
bin11100111010100…
…01000111100001
3121220101222121001
432131101013201
5444043201223
640022432001
76003445342
oct1635210741
9556358531
10242553313
11114a07992
1269292601
133b336092
14242dc0c9
15164629ad
hexe7511e1

242553313 has 2 divisors, whose sum is σ = 242553314. Its totient is φ = 242553312.

The previous prime is 242553251. The next prime is 242553319. The reversal of 242553313 is 313355242.

242553313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240157009 + 2396304 = 15497^2 + 1548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242553313 is a prime.

It is not a weakly prime, because it can be changed into another prime (242553319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121276656 + 121276657.

It is an arithmetic number, because the mean of its divisors is an integer number (121276657).

Almost surely, 2242553313 is an apocalyptic number.

It is an amenable number.

242553313 is a deficient number, since it is larger than the sum of its proper divisors (1).

242553313 is an equidigital number, since it uses as much as digits as its factorization.

242553313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 28.

The square root of 242553313 is about 15574.1231855922. The cubic root of 242553313 is about 623.6425476113.

The spelling of 242553313 in words is "two hundred forty-two million, five hundred fifty-three thousand, three hundred thirteen".