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2202012121 is a prime number
BaseRepresentation
bin1000001101000000…
…0000100111011001
312200110110210202111
42003100000213121
514002203341441
61002300432321
7105365536261
oct20320004731
95613423674
102202012121
11a2aa84331
125155486a1
1329128746a
1416c6427a1
15cd4b8081
hex834009d9

2202012121 has 2 divisors, whose sum is σ = 2202012122. Its totient is φ = 2202012120.

The previous prime is 2202012061. The next prime is 2202012167. The reversal of 2202012121 is 1212102022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2103506496 + 98505625 = 45864^2 + 9925^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202012121 - 213 = 2202003929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101006060 + 1101006061.

It is an arithmetic number, because the mean of its divisors is an integer number (1101006061).

Almost surely, 22202012121 is an apocalyptic number.

It is an amenable number.

2202012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202012121 is an equidigital number, since it uses as much as digits as its factorization.

2202012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2202012121 is about 46925.6019780247. The cubic root of 2202012121 is about 1300.9878332070.

Adding to 2202012121 its reverse (1212102022), we get a palindrome (3414114143).

The spelling of 2202012121 in words is "two billion, two hundred two million, twelve thousand, one hundred twenty-one".