Search a number
-
+
10224311213 is a prime number
BaseRepresentation
bin10011000010110101…
…01001101110101101
3222101112211211021002
421201122221232231
5131414410424323
64410314250045
7511240132334
oct114132515655
928345754232
1010224311213
1143773a2386
121b94126925
13c6c3072bc
146cdc72d1b
153ec91a828
hex2616a9bad

10224311213 has 2 divisors, whose sum is σ = 10224311214. Its totient is φ = 10224311212.

The previous prime is 10224311191. The next prime is 10224311231. The reversal of 10224311213 is 31211342201.

Together with next prime (10224311231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7887748969 + 2336562244 = 88813^2 + 48338^2 .

It is a cyclic number.

It is not a de Polignac number, because 10224311213 - 216 = 10224245677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10224311113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5112155606 + 5112155607.

It is an arithmetic number, because the mean of its divisors is an integer number (5112155607).

Almost surely, 210224311213 is an apocalyptic number.

It is an amenable number.

10224311213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224311213 is an equidigital number, since it uses as much as digits as its factorization.

10224311213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10224311213 its reverse (31211342201), we get a palindrome (41435653414).

The spelling of 10224311213 in words is "ten billion, two hundred twenty-four million, three hundred eleven thousand, two hundred thirteen".