Search a number
-
+
20112000001 is a prime number
BaseRepresentation
bin10010101110110001…
…001100010000000001
31220220122021110100221
4102232301030100001
5312142133000001
613123405543041
71311252115342
oct225661142001
956818243327
1020112000001
118590777305
123a93574a81
131b86960422
14d8b11c0c9
157ca9e11a1
hex4aec4c401

20112000001 has 2 divisors, whose sum is σ = 20112000002. Its totient is φ = 20112000000.

The previous prime is 20111999993. The next prime is 20112000011. The reversal of 20112000001 is 10000021102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19824358401 + 287641600 = 140799^2 + 16960^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112000001 - 23 = 20111999993 is a prime.

It is not a weakly prime, because it can be changed into another prime (20112000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056000000 + 10056000001.

It is an arithmetic number, because the mean of its divisors is an integer number (10056000001).

Almost surely, 220112000001 is an apocalyptic number.

It is an amenable number.

20112000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112000001 is an equidigital number, since it uses as much as digits as its factorization.

20112000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20112000001 its reverse (10000021102), we get a palindrome (30112021103).

The spelling of 20112000001 in words is "twenty billion, one hundred twelve million, one", and thus it is an aban number.