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22121100973 is a prime number
BaseRepresentation
bin10100100110100001…
…010011011010101101
32010002122202100210001
4110212201103122231
5330301000212343
614055015544301
71412116153516
oct244641233255
963078670701
1022121100973
11942186a634
12435438b091
132116c7307a
1410dbca5a0d
158970a044d
hex5268536ad

22121100973 has 2 divisors, whose sum is σ = 22121100974. Its totient is φ = 22121100972.

The previous prime is 22121100971. The next prime is 22121100979. The reversal of 22121100973 is 37900112122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15118423849 + 7002677124 = 122957^2 + 83682^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121100973 - 21 = 22121100971 is a prime.

Together with 22121100971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121100971) 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, 11060550486 + 11060550487.

It is an arithmetic number, because the mean of its divisors is an integer number (11060550487).

Almost surely, 222121100973 is an apocalyptic number.

It is an amenable number.

22121100973 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121100973 is an equidigital number, since it uses as much as digits as its factorization.

22121100973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 22121100973 in words is "twenty-two billion, one hundred twenty-one million, one hundred thousand, nine hundred seventy-three".