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22101005093 is a prime number
BaseRepresentation
bin10100100101010100…
…101001001100100101
32010001020221101102012
4110211110221030211
5330230324130333
614053021124005
71411453305116
oct244524511445
963036841365
1022101005093
119411494272
1243496b9605
132112a5810b
1410d935420d
15895430e48
hex525529325

22101005093 has 2 divisors, whose sum is σ = 22101005094. Its totient is φ = 22101005092.

The previous prime is 22101005053. The next prime is 22101005111. The reversal of 22101005093 is 39050010122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20708073409 + 1392931684 = 143903^2 + 37322^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101005093 - 212 = 22101000997 is a prime.

It is a super-2 number, since 2×221010050932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101005033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050502546 + 11050502547.

It is an arithmetic number, because the mean of its divisors is an integer number (11050502547).

Almost surely, 222101005093 is an apocalyptic number.

It is an amenable number.

22101005093 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101005093 is an equidigital number, since it uses as much as digits as its factorization.

22101005093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The spelling of 22101005093 in words is "twenty-two billion, one hundred one million, five thousand, ninety-three".