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442221122257 is a prime number
BaseRepresentation
bin1100110111101100110…
…11101101001011010001
31120021110011001121102121
412123312123231023101
524221132101403012
6535053101214241
743643436342625
oct6336633551321
91507404047377
10442221122257
111605aa327472
1271856b61381
1332916909415
1417591749185
15b7833c0a07
hex66f66ed2d1

442221122257 has 2 divisors, whose sum is σ = 442221122258. Its totient is φ = 442221122256.

The previous prime is 442221122237. The next prime is 442221122269. The reversal of 442221122257 is 752221122244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277761674961 + 164459447296 = 527031^2 + 405536^2 .

It is a cyclic number.

It is not a de Polignac number, because 442221122257 - 27 = 442221122129 is a prime.

It is not a weakly prime, because it can be changed into another prime (442221122207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221110561128 + 221110561129.

It is an arithmetic number, because the mean of its divisors is an integer number (221110561129).

Almost surely, 2442221122257 is an apocalyptic number.

It is an amenable number.

442221122257 is a deficient number, since it is larger than the sum of its proper divisors (1).

442221122257 is an equidigital number, since it uses as much as digits as its factorization.

442221122257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35840, while the sum is 34.

The spelling of 442221122257 in words is "four hundred forty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred fifty-seven".