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22013410021 is a prime number
BaseRepresentation
bin10100100000000110…
…011111101011100101
32002211011010002120021
4110200012133223211
5330040413110041
614040211435141
71406340616651
oct244006375345
962734102507
1022013410021
119376aa5849
1243242b5ab1
1320ca868a05
1410cb871a61
1588c8cbcd1
hex52019fae5

22013410021 has 2 divisors, whose sum is σ = 22013410022. Its totient is φ = 22013410020.

The previous prime is 22013410019. The next prime is 22013410057. The reversal of 22013410021 is 12001431022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17499585796 + 4513824225 = 132286^2 + 67185^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013410021 - 21 = 22013410019 is a prime.

Together with 22013410019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22013409977 and 22013410004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22013410091) 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, 11006705010 + 11006705011.

It is an arithmetic number, because the mean of its divisors is an integer number (11006705011).

Almost surely, 222013410021 is an apocalyptic number.

It is an amenable number.

22013410021 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013410021 is an equidigital number, since it uses as much as digits as its factorization.

22013410021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22013410021 its reverse (12001431022), we get a palindrome (34014841043).

The spelling of 22013410021 in words is "twenty-two billion, thirteen million, four hundred ten thousand, twenty-one".