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242853355612801 is a prime number
BaseRepresentation
bin110111001101111110110011…
…111111100110101010000001
31011211212112221220112121212001
4313031332303333212222001
5223312402133014102201
62220301142535104001
7102103401355042033
oct6715766377465201
91154775856477761
10242853355612801
117042059108456a
12232a2735512001
13a567c8608b49b
1443d8245179c53
151d1228e30b301
hexdcdfb3fe6a81

242853355612801 has 2 divisors, whose sum is σ = 242853355612802. Its totient is φ = 242853355612800.

The previous prime is 242853355612789. The next prime is 242853355612837. The reversal of 242853355612801 is 108216553358242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241986771493776 + 866584119025 = 15555924^2 + 930905^2 .

It is a cyclic number.

It is not a de Polignac number, because 242853355612801 - 211 = 242853355610753 is a prime.

It is not a weakly prime, because it can be changed into another prime (242853355112801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121426677806400 + 121426677806401.

It is an arithmetic number, because the mean of its divisors is an integer number (121426677806401).

Almost surely, 2242853355612801 is an apocalyptic number.

It is an amenable number.

242853355612801 is a deficient number, since it is larger than the sum of its proper divisors (1).

242853355612801 is an equidigital number, since it uses as much as digits as its factorization.

242853355612801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 242853355612801 in words is "two hundred forty-two trillion, eight hundred fifty-three billion, three hundred fifty-five million, six hundred twelve thousand, eight hundred one".