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242202144257 is a prime number
BaseRepresentation
bin1110000110010001011…
…1110110111000000001
3212011011111001202000022
43201210113312320001
512432012222104012
6303133252303225
723332665154313
oct3414427667001
9764144052008
10242202144257
1193798883877
123ab35011b15
1319abb6a4078
14ba18d277b3
15647844d472
hex38645f6e01

242202144257 has 2 divisors, whose sum is σ = 242202144258. Its totient is φ = 242202144256.

The previous prime is 242202144241. The next prime is 242202144319. The reversal of 242202144257 is 752441202242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149800735681 + 92401408576 = 387041^2 + 303976^2 .

It is a cyclic number.

It is not a de Polignac number, because 242202144257 - 24 = 242202144241 is a prime.

It is not a weakly prime, because it can be changed into another prime (242202144157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121101072128 + 121101072129.

It is an arithmetic number, because the mean of its divisors is an integer number (121101072129).

Almost surely, 2242202144257 is an apocalyptic number.

It is an amenable number.

242202144257 is a deficient number, since it is larger than the sum of its proper divisors (1).

242202144257 is an equidigital number, since it uses as much as digits as its factorization.

242202144257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71680, while the sum is 35.

Adding to 242202144257 its reverse (752441202242), we get a palindrome (994643346499).

The spelling of 242202144257 in words is "two hundred forty-two billion, two hundred two million, one hundred forty-four thousand, two hundred fifty-seven".