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22121100193 is a prime number
BaseRepresentation
bin10100100110100001…
…010011001110100001
32010002122202022201011
4110212201103032201
5330301000201233
614055015540521
71412116151323
oct244641231641
963078668634
1022121100193
119421869a95
12435438a741
132116c728ca
1410dbca5613
158970a00cd
hex5268533a1

22121100193 has 2 divisors, whose sum is σ = 22121100194. Its totient is φ = 22121100192.

The previous prime is 22121100121. The next prime is 22121100203. The reversal of 22121100193 is 39100112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15213495649 + 6907604544 = 123343^2 + 83112^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121100193 - 29 = 22121099681 is a prime.

It is not a weakly prime, because it can be changed into another prime (22121100293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060550096 + 11060550097.

It is an arithmetic number, because the mean of its divisors is an integer number (11060550097).

Almost surely, 222121100193 is an apocalyptic number.

It is an amenable number.

22121100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121100193 is an equidigital number, since it uses as much as digits as its factorization.

22121100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 22121100193 in words is "twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred ninety-three".