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2221001331149 is a prime number
BaseRepresentation
bin100000010100011101111…
…111101101000111001101
321212022210101211200211002
4200110131333231013031
5242342102320044044
64420151450310045
7316314324552536
oct40243577550715
97768711750732
102221001331149
11786a15393a07
122ba540a28325
131315938431c3
14796d5c2d68d
153cb9006374e
hex2051dfed1cd

2221001331149 has 2 divisors, whose sum is σ = 2221001331150. Its totient is φ = 2221001331148.

The previous prime is 2221001331103. The next prime is 2221001331173. The reversal of 2221001331149 is 9411331001222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2215915074025 + 5086257124 = 1488595^2 + 71318^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221001331149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221001331349) 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, 1110500665574 + 1110500665575.

It is an arithmetic number, because the mean of its divisors is an integer number (1110500665575).

Almost surely, 22221001331149 is an apocalyptic number.

It is an amenable number.

2221001331149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221001331149 is an equidigital number, since it uses as much as digits as its factorization.

2221001331149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 2221001331149 in words is "two trillion, two hundred twenty-one billion, one million, three hundred thirty-one thousand, one hundred forty-nine".