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20022100122109 is a prime number
BaseRepresentation
bin1001000110101110000100…
…01010100101100111111101
32121220002112120202000211211
410203113002022211213331
510111020230112401414
6110330005324244421
74134356206661521
oct443270212454775
977802476660754
1020022100122109
11641a3635a8968
1222b45009a0711
13b230caabcc77
144d3109421d81
1524ac4a1903c4
hex1235c22a59fd

20022100122109 has 2 divisors, whose sum is σ = 20022100122110. Its totient is φ = 20022100122108.

The previous prime is 20022100122107. The next prime is 20022100122203. The reversal of 20022100122109 is 90122100122002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11926510296484 + 8095589825625 = 3453478^2 + 2845275^2 .

It is a cyclic number.

It is not a de Polignac number, because 20022100122109 - 21 = 20022100122107 is a prime.

Together with 20022100122107, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 20022100122109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20022100122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10011050061054 + 10011050061055.

It is an arithmetic number, because the mean of its divisors is an integer number (10011050061055).

Almost surely, 220022100122109 is an apocalyptic number.

It is an amenable number.

20022100122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

20022100122109 is an equidigital number, since it uses as much as digits as its factorization.

20022100122109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 20022100122109 in words is "twenty trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred nine".