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22144311029 is a prime number
BaseRepresentation
bin10100100111111001…
…110101111011110101
32010011021102112222202
4110213321311323311
5330322420423104
614101205234245
71412520352361
oct244771657365
963137375882
1022144311029
1194339826a5
124360102985
13211ba0b629
141100dc82a1
1589913751e
hex527e75ef5

22144311029 has 2 divisors, whose sum is σ = 22144311030. Its totient is φ = 22144311028.

The previous prime is 22144311023. The next prime is 22144311031. The reversal of 22144311029 is 92011344122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20411836900 + 1732474129 = 142870^2 + 41623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22144311029 is a prime.

Together with 22144311031, 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 = 22144310992 and 22144311010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22144311023) 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, 11072155514 + 11072155515.

It is an arithmetic number, because the mean of its divisors is an integer number (11072155515).

Almost surely, 222144311029 is an apocalyptic number.

It is an amenable number.

22144311029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22144311029 is an equidigital number, since it uses as much as digits as its factorization.

22144311029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 22144311029 in words is "twenty-two billion, one hundred forty-four million, three hundred eleven thousand, twenty-nine".