Search a number
-
+
310222132201 is a prime number
BaseRepresentation
bin1001000001110101010…
…11100001001111101001
31002122201220200010222001
410200322223201033221
520040313331212301
6354303012531001
731261410421132
oct4407253411751
91078656603861
10310222132201
1110a623340543
1250158920a61
132333b852147
141102c9a8c89
158109ce8c01
hex483aae13e9

310222132201 has 2 divisors, whose sum is σ = 310222132202. Its totient is φ = 310222132200.

The previous prime is 310222132117. The next prime is 310222132247. The reversal of 310222132201 is 102231222013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290627731801 + 19594400400 = 539099^2 + 139980^2 .

It is an emirp because it is prime and its reverse (102231222013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310222132201 is a prime.

It is a super-2 number, since 2×3102221322012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (310222132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155111066100 + 155111066101.

It is an arithmetic number, because the mean of its divisors is an integer number (155111066101).

Almost surely, 2310222132201 is an apocalyptic number.

It is an amenable number.

310222132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

310222132201 is an equidigital number, since it uses as much as digits as its factorization.

310222132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 310222132201 its reverse (102231222013), we get a palindrome (412453354214).

The spelling of 310222132201 in words is "three hundred ten billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred one".