Search a number
-
+
10224201311 is a prime number
BaseRepresentation
bin10011000010110100…
…01110111001011111
3222101112122020111122
421201122032321133
5131414343420221
64410312041155
7511236164042
oct114132167137
928345566448
1010224201311
114377327855
121b940931bb
13c6c29927c
146cdc44c59
153ec8e7eab
hex26168ee5f

10224201311 has 2 divisors, whose sum is σ = 10224201312. Its totient is φ = 10224201310.

The previous prime is 10224201307. The next prime is 10224201313. The reversal of 10224201311 is 11310242201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10224201311 - 22 = 10224201307 is a prime.

Together with 10224201313, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10224201311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10224201313) 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, 5112100655 + 5112100656.

It is an arithmetic number, because the mean of its divisors is an integer number (5112100656).

Almost surely, 210224201311 is an apocalyptic number.

10224201311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224201311 is an equidigital number, since it uses as much as digits as its factorization.

10224201311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10224201311 its reverse (11310242201), we get a palindrome (21534443512).

The spelling of 10224201311 in words is "ten billion, two hundred twenty-four million, two hundred one thousand, three hundred eleven".