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242777347525001 is a prime number
BaseRepresentation
bin110111001100111000000001…
…100011110000100110001001
31011211121021202202220200221002
4313030320001203300212021
5223310131001431300001
62220202212422024345
7102065040665000312
oct6714700143604611
91154537682820832
10242777347525001
11703a1327538183
122328ba625780b5
13a560a61ca59c3
1443d46b464b609
151d102e151646b
hexdcce018f0989

242777347525001 has 2 divisors, whose sum is σ = 242777347525002. Its totient is φ = 242777347525000.

The previous prime is 242777347524973. The next prime is 242777347525003. The reversal of 242777347525001 is 100525743777242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136213431444601 + 106563916080400 = 11671051^2 + 10322980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242777347525001 is a prime.

Together with 242777347525003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (242777347525003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121388673762500 + 121388673762501.

It is an arithmetic number, because the mean of its divisors is an integer number (121388673762501).

Almost surely, 2242777347525001 is an apocalyptic number.

It is an amenable number.

242777347525001 is a deficient number, since it is larger than the sum of its proper divisors (1).

242777347525001 is an equidigital number, since it uses as much as digits as its factorization.

242777347525001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23049600, while the sum is 56.

The spelling of 242777347525001 in words is "two hundred forty-two trillion, seven hundred seventy-seven billion, three hundred forty-seven million, five hundred twenty-five thousand, one".