Search a number
-
+
122113333 is a prime number
BaseRepresentation
bin1110100011101…
…00110100110101
322111210000000001
413101310310311
5222230111313
620041151301
73011642356
oct721646465
9274700001
10122113333
1162a25611
1234a8b531
131c3b6b14
1412309d2d
15aac1add
hex7474d35

122113333 has 2 divisors, whose sum is σ = 122113334. Its totient is φ = 122113332.

The previous prime is 122113331. The next prime is 122113373. The reversal of 122113333 is 333311221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121484484 + 628849 = 11022^2 + 793^2 .

It is an emirp because it is prime and its reverse (333311221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122113333 - 21 = 122113331 is a prime.

Together with 122113331, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122113333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122113331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056666 + 61056667.

It is an arithmetic number, because the mean of its divisors is an integer number (61056667).

Almost surely, 2122113333 is an apocalyptic number.

It is an amenable number.

122113333 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113333 is an equidigital number, since it uses as much as digits as its factorization.

122113333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 122113333 is about 11050.4901701237. The cubic root of 122113333 is about 496.1210967005.

Adding to 122113333 its reverse (333311221), we get a palindrome (455424554).

The spelling of 122113333 in words is "one hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-three".