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2221002112249 is a prime number
BaseRepresentation
bin100000010100011110000…
…010101011110011111001
321212022210110022101021201
4200110132002223303321
5242342103020042444
64420151515134201
7316314334315024
oct40243602536371
97768713271251
102221002112249
11786a15877848
122ba541144361
13131593a578ab
14796d5d941bb
153cb90169dd4
hex2051e0abcf9

2221002112249 has 2 divisors, whose sum is σ = 2221002112250. Its totient is φ = 2221002112248.

The previous prime is 2221002112187. The next prime is 2221002112289. The reversal of 2221002112249 is 9422112001222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1723916480400 + 497085631849 = 1312980^2 + 705043^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221002112249 - 221 = 2221000015097 is a prime.

It is a super-2 number, since 2×22210021122492 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221002112289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110501056124 + 1110501056125.

It is an arithmetic number, because the mean of its divisors is an integer number (1110501056125).

Almost surely, 22221002112249 is an apocalyptic number.

It is an amenable number.

2221002112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221002112249 is an equidigital number, since it uses as much as digits as its factorization.

2221002112249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 2221002112249 in words is "two trillion, two hundred twenty-one billion, two million, one hundred twelve thousand, two hundred forty-nine".