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11010000013 is a prime number
BaseRepresentation
bin10100100000011111…
…10100010010001101
31001102022020221200021
422100033310102031
5140022030000023
65020302302141
7536560312255
oct122017642215
931368227607
1011010000013
11473a948a71
122173287951
13106601920c
14766354965
154468b735d
hex2903f448d

11010000013 has 2 divisors, whose sum is σ = 11010000014. Its totient is φ = 11010000012.

The previous prime is 11009999981. The next prime is 11010000101. The reversal of 11010000013 is 31000001011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10908131364 + 101868649 = 104442^2 + 10093^2 .

It is a cyclic number.

It is not a de Polignac number, because 11010000013 - 25 = 11009999981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11009999960 and 11010000005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11010010013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505000006 + 5505000007.

It is an arithmetic number, because the mean of its divisors is an integer number (5505000007).

Almost surely, 211010000013 is an apocalyptic number.

It is an amenable number.

11010000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010000013 is an equidigital number, since it uses as much as digits as its factorization.

11010000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11010000013 its reverse (31000001011), we get a palindrome (42010001024).

The spelling of 11010000013 in words is "eleven billion, ten million, thirteen", and thus it is an aban number and an uban number.