Search a number
-
+
122313200311 is a prime number
BaseRepresentation
bin111000111101001101…
…1110101001010110111
3102200201012212100210001
41301322123311022313
54000444134402221
6132105004212131
711560015022431
oct1617233651267
9380635770701
10122313200311
1147966681815
121b85653a047
13b6c3501953
145cc464d651
1532ad0d3391
hex1c7a6f52b7

122313200311 has 2 divisors, whose sum is σ = 122313200312. Its totient is φ = 122313200310.

The previous prime is 122313200257. The next prime is 122313200353. The reversal of 122313200311 is 113002313221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122313200311 - 217 = 122313069239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313200381) 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, 61156600155 + 61156600156.

It is an arithmetic number, because the mean of its divisors is an integer number (61156600156).

Almost surely, 2122313200311 is an apocalyptic number.

122313200311 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313200311 is an equidigital number, since it uses as much as digits as its factorization.

122313200311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122313200311 its reverse (113002313221), we get a palindrome (235315513532).

It can be divided in two parts, 122313 and 200311, that added together give a square (322624 = 5682).

The spelling of 122313200311 in words is "one hundred twenty-two billion, three hundred thirteen million, two hundred thousand, three hundred eleven".