Search a number
-
+
223231012009 is a prime number
BaseRepresentation
bin1100111111100110011…
…0101110110010101001
3210100012100112100222121
43033321212232302221
512124134114341014
6250314555151241
722061605202665
oct3177146566251
9710170470877
10223231012009
11867430a5385
123731b745521
1318087203125
14ab395458a5
155c17bb7124
hex33f99aeca9

223231012009 has 2 divisors, whose sum is σ = 223231012010. Its totient is φ = 223231012008.

The previous prime is 223231012001. The next prime is 223231012013. The reversal of 223231012009 is 900210132322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221155753984 + 2075258025 = 470272^2 + 45555^2 .

It is a cyclic number.

It is not a de Polignac number, because 223231012009 - 23 = 223231012001 is a prime.

It is a super-3 number, since 3×2232310120093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223231012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615506004 + 111615506005.

It is an arithmetic number, because the mean of its divisors is an integer number (111615506005).

Almost surely, 2223231012009 is an apocalyptic number.

It is an amenable number.

223231012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

223231012009 is an equidigital number, since it uses as much as digits as its factorization.

223231012009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 223231012009 in words is "two hundred twenty-three billion, two hundred thirty-one million, twelve thousand, nine".