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234247288001 is a prime number
BaseRepresentation
bin1101101000101000111…
…0011111010011000001
3211101122002121011200112
43122022032133103001
512314214301204001
6255340044201105
722631603044466
oct3321216372301
9741562534615
10234247288001
119038653a601
1239494b39195
1319121608b2c
14b4a265166d
15615edbdcbb
hex368a39f4c1

234247288001 has 2 divisors, whose sum is σ = 234247288002. Its totient is φ = 234247288000.

The previous prime is 234247287977. The next prime is 234247288021. The reversal of 234247288001 is 100882742432.

234247288001 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., 189071910976 + 45175377025 = 434824^2 + 212545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-234247288001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 234247288001.

It is not a weakly prime, because it can be changed into another prime (234247288021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 117123644000 + 117123644001.

It is an arithmetic number, because the mean of its divisors is an integer number (117123644001).

Almost surely, 2234247288001 is an apocalyptic number.

It is an amenable number.

234247288001 is a deficient number, since it is larger than the sum of its proper divisors (1).

234247288001 is an equidigital number, since it uses as much as digits as its factorization.

234247288001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 234247288001 in words is "two hundred thirty-four billion, two hundred forty-seven million, two hundred eighty-eight thousand, one".