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2245251241201 is a prime number
BaseRepresentation
bin100000101011000011011…
…001110001010011110001
321221122101102022202122211
4200223003121301103301
5243241233304204301
64435242034132121
7321133263442003
oct40530331612361
97848342282584
102245251241201
11796229879291
1230318a121041
1313395984ccc7
147a956720373
153d60de6c051
hex20ac36714f1

2245251241201 has 2 divisors, whose sum is σ = 2245251241202. Its totient is φ = 2245251241200.

The previous prime is 2245251241199. The next prime is 2245251241213. The reversal of 2245251241201 is 1021421525422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1299930621025 + 945320620176 = 1140145^2 + 972276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2245251241201 - 21 = 2245251241199 is a prime.

It is a super-2 number, since 2×22452512412012 (a number of 26 digits) contains 22 as substring.

Together with 2245251241199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2245251241271) 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, 1122625620600 + 1122625620601.

It is an arithmetic number, because the mean of its divisors is an integer number (1122625620601).

Almost surely, 22245251241201 is an apocalyptic number.

It is an amenable number.

2245251241201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2245251241201 is an equidigital number, since it uses as much as digits as its factorization.

2245251241201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 2245251241201 its reverse (1021421525422), we get a palindrome (3266672766623).

The spelling of 2245251241201 in words is "two trillion, two hundred forty-five billion, two hundred fifty-one million, two hundred forty-one thousand, two hundred one".