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2221125230041 is a prime number
BaseRepresentation
bin100000010100100101011…
…000010101110111011001
321212100010000222102010221
4200110211120111313121
5242342331024330131
64420212034040041
7316320360643024
oct40244530256731
97770100872127
102221125230041
11786a79318a93
122ba576419021
131315b3403963
14797084821bb
153cb9ad89411
hex20525615dd9

2221125230041 has 2 divisors, whose sum is σ = 2221125230042. Its totient is φ = 2221125230040.

The previous prime is 2221125230029. The next prime is 2221125230053. The reversal of 2221125230041 is 1400325211222.

It is a balanced prime because it is at equal distance from previous prime (2221125230029) and next prime (2221125230053).

It can be written as a sum of positive squares in only one way, i.e., 2070732512016 + 150392718025 = 1439004^2 + 387805^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221125230041 - 213 = 2221125221849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221125229988 and 2221125230015.

It is not a weakly prime, because it can be changed into another prime (2221125230021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110562615020 + 1110562615021.

It is an arithmetic number, because the mean of its divisors is an integer number (1110562615021).

Almost surely, 22221125230041 is an apocalyptic number.

It is an amenable number.

2221125230041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221125230041 is an equidigital number, since it uses as much as digits as its factorization.

2221125230041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 2221125230041 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-five million, two hundred thirty thousand, forty-one".