Search a number
-
+
102223103237 is a prime number
BaseRepresentation
bin101111100110011111…
…0001100010100000101
3100202212002210200120122
41133030332030110011
53133323103300422
6114543255511325
710246120020023
oct1371476142405
9322762720518
10102223103237
113a397305502
121798a388545
13984126cb48
144d3a3d3713
1529d44bbd42
hex17ccf8c505

102223103237 has 2 divisors, whose sum is σ = 102223103238. Its totient is φ = 102223103236.

The previous prime is 102223103209. The next prime is 102223103243. The reversal of 102223103237 is 732301322201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101174250241 + 1048852996 = 318079^2 + 32386^2 .

It is a cyclic number.

It is not a de Polignac number, because 102223103237 - 214 = 102223086853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102223103267) 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, 51111551618 + 51111551619.

It is an arithmetic number, because the mean of its divisors is an integer number (51111551619).

Almost surely, 2102223103237 is an apocalyptic number.

It is an amenable number.

102223103237 is a deficient number, since it is larger than the sum of its proper divisors (1).

102223103237 is an equidigital number, since it uses as much as digits as its factorization.

102223103237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 102223103237 its reverse (732301322201), we get a palindrome (834524425438).

The spelling of 102223103237 in words is "one hundred two billion, two hundred twenty-three million, one hundred three thousand, two hundred thirty-seven".