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442205250245201 is a prime number
BaseRepresentation
bin110010010001011101110111…
…0110110111101001001010001
32010222201102001012120202100202
41210202323232312331021101
5430430042323030321301
64204254142033224545
7162100163222551442
oct14442735666751121
92128642035522322
10442205250245201
1111899a214550673
124171a40b702155
1315c98a123247c1
147b2abc3a972c9
15361cb9018566b
hex1922eeedbd251

442205250245201 has 2 divisors, whose sum is σ = 442205250245202. Its totient is φ = 442205250245200.

The previous prime is 442205250245167. The next prime is 442205250245267. The reversal of 442205250245201 is 102542052502244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418807220448400 + 23398029796801 = 20464780^2 + 4837151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442205250245201 is a prime.

It is not a weakly prime, because it can be changed into another prime (442205250245401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221102625122600 + 221102625122601.

It is an arithmetic number, because the mean of its divisors is an integer number (221102625122601).

Almost surely, 2442205250245201 is an apocalyptic number.

It is an amenable number.

442205250245201 is a deficient number, since it is larger than the sum of its proper divisors (1).

442205250245201 is an equidigital number, since it uses as much as digits as its factorization.

442205250245201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256000, while the sum is 38.

The spelling of 442205250245201 in words is "four hundred forty-two trillion, two hundred five billion, two hundred fifty million, two hundred forty-five thousand, two hundred one".