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11022021013 is a prime number
BaseRepresentation
bin10100100001111011…
…01011000110010101
31001110010212200101111
422100331223012111
5140033114133023
65021412055021
7540064430023
oct122075530625
931403780344
1011022021013
114746709583
122177304471
131068667933
14767ba3713
1544798e00d
hex290f6b195

11022021013 has 2 divisors, whose sum is σ = 11022021014. Its totient is φ = 11022021012.

The previous prime is 11022020951. The next prime is 11022021029. The reversal of 11022021013 is 31012022011.

11022021013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10539691569 + 482329444 = 102663^2 + 21962^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11022021013 is a prime.

It is a super-2 number, since 2×110220210132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022020984 and 11022021002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11022021713) 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, 5511010506 + 5511010507.

It is an arithmetic number, because the mean of its divisors is an integer number (5511010507).

Almost surely, 211022021013 is an apocalyptic number.

It is an amenable number.

11022021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11022021013 is an equidigital number, since it uses as much as digits as its factorization.

11022021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11022021013 its reverse (31012022011), we get a palindrome (42034043024).

The spelling of 11022021013 in words is "eleven billion, twenty-two million, twenty-one thousand, thirteen".