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22121210429 is a prime number
BaseRepresentation
bin10100100110100001…
…101110001000111101
32010002122221220220222
4110212201232020331
5330301012213204
614055022151125
71412120120603
oct244641561075
963078856828
1022121210429
11942193489a
1243544224a5
132116cb0b36
1410dbcd3873
158970c2abe
hex52686e23d

22121210429 has 2 divisors, whose sum is σ = 22121210430. Its totient is φ = 22121210428.

The previous prime is 22121210383. The next prime is 22121210431. The reversal of 22121210429 is 92401212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22120612900 + 597529 = 148730^2 + 773^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121210429 - 28 = 22121210173 is a prime.

Together with 22121210431, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22121210398 and 22121210407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121210459) 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, 11060605214 + 11060605215.

It is an arithmetic number, because the mean of its divisors is an integer number (11060605215).

Almost surely, 222121210429 is an apocalyptic number.

It is an amenable number.

22121210429 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121210429 is an equidigital number, since it uses as much as digits as its factorization.

22121210429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 22121210429 in words is "twenty-two billion, one hundred twenty-one million, two hundred ten thousand, four hundred twenty-nine".