Search a number
-
+
221250065357353 is a prime number
BaseRepresentation
bin110010010011100111001011…
…100011010101101000101001
31002000101022002110121100021011
4302103213023203111220221
5212444430113212413403
62102320513222343521
764413534605504434
oct6223471343255051
91060338073540234
10221250065357353
1164551697a0a46a
12209938b328aba1
13965ba3a301906
143c8c7bb67081b
151a8a34e0b5a6d
hexc939cb8d5a29

221250065357353 has 2 divisors, whose sum is σ = 221250065357354. Its totient is φ = 221250065357352.

The previous prime is 221250065357303. The next prime is 221250065357393. The reversal of 221250065357353 is 353753560052122.

221250065357353 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., 219537325171264 + 1712740186089 = 14816792^2 + 1308717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221250065357353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221250065357297 and 221250065357306.

It is not a weakly prime, because it can be changed into another prime (221250065357303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110625032678676 + 110625032678677.

It is an arithmetic number, because the mean of its divisors is an integer number (110625032678677).

Almost surely, 2221250065357353 is an apocalyptic number.

It is an amenable number.

221250065357353 is a deficient number, since it is larger than the sum of its proper divisors (1).

221250065357353 is an equidigital number, since it uses as much as digits as its factorization.

221250065357353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670000, while the sum is 49.

The spelling of 221250065357353 in words is "two hundred twenty-one trillion, two hundred fifty billion, sixty-five million, three hundred fifty-seven thousand, three hundred fifty-three".