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20122332257 is a prime number
BaseRepresentation
bin10010101111011000…
…100110110001100001
31220221100201101120002
4102233120212301201
5312202304113012
613124415225345
71311436000466
oct225730466141
956840641502
1020122332257
118596594065
123a96b18255
131b88b3a2a1
14d8c64b66d
157cb8827c2
hex4af626c61

20122332257 has 2 divisors, whose sum is σ = 20122332258. Its totient is φ = 20122332256.

The previous prime is 20122332203. The next prime is 20122332259. The reversal of 20122332257 is 75223322102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20034703936 + 87628321 = 141544^2 + 9361^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122332257 - 28 = 20122332001 is a prime.

It is a super-2 number, since 2×201223322572 (a number of 21 digits) contains 22 as substring.

Together with 20122332259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20122332259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061166128 + 10061166129.

It is an arithmetic number, because the mean of its divisors is an integer number (10061166129).

Almost surely, 220122332257 is an apocalyptic number.

It is an amenable number.

20122332257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122332257 is an equidigital number, since it uses as much as digits as its factorization.

20122332257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 29.

Adding to 20122332257 its reverse (75223322102), we get a palindrome (95345654359).

The spelling of 20122332257 in words is "twenty billion, one hundred twenty-two million, three hundred thirty-two thousand, two hundred fifty-seven".