Search a number
-
+
10012022201 is a prime number
BaseRepresentation
bin10010101001100001…
…10101010110111001
3221211202101102111002
421110300311112321
5131001034202301
64333252214345
7503051533046
oct112460652671
927752342432
1010012022201
114278586515
121b3500a3b5
13c373395bc
146ad9b21cd
153d8e8516b
hex254c355b9

10012022201 has 2 divisors, whose sum is σ = 10012022202. Its totient is φ = 10012022200.

The previous prime is 10012022191. The next prime is 10012022213. The reversal of 10012022201 is 10222021001.

It is a happy number.

10012022201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5357508025 + 4654514176 = 73195^2 + 68224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10012022201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012025201) 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, 5006011100 + 5006011101.

It is an arithmetic number, because the mean of its divisors is an integer number (5006011101).

Almost surely, 210012022201 is an apocalyptic number.

It is an amenable number.

10012022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012022201 is an equidigital number, since it uses as much as digits as its factorization.

10012022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10012022201 its reverse (10222021001), we get a palindrome (20234043202).

It can be divided in two parts, 1001 and 2022201, that added together give a palindrome (2023202).

The spelling of 10012022201 in words is "ten billion, twelve million, twenty-two thousand, two hundred one".