Search a number
-
+
122804831 is a prime number
BaseRepresentation
bin1110101000111…
…01101001011111
322120002010120002
413110131221133
5222414223311
620104044515
73020552402
oct724355137
9276063502
10122804831
11633580a6
123516373b
131c5997a6
1412449d39
15abab93b
hex751da5f

122804831 has 2 divisors, whose sum is σ = 122804832. Its totient is φ = 122804830.

The previous prime is 122804819. The next prime is 122804833. The reversal of 122804831 is 138408221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122804831 - 26 = 122804767 is a prime.

It is a super-2 number, since 2×1228048312 = 30162053033877122, which contains 22 as substring.

Together with 122804833, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122804794 and 122804803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122804833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61402415 + 61402416.

It is an arithmetic number, because the mean of its divisors is an integer number (61402416).

Almost surely, 2122804831 is an apocalyptic number.

122804831 is a deficient number, since it is larger than the sum of its proper divisors (1).

122804831 is an equidigital number, since it uses as much as digits as its factorization.

122804831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 122804831 is about 11081.7341152006. The cubic root of 122804831 is about 497.0558054652.

The spelling of 122804831 in words is "one hundred twenty-two million, eight hundred four thousand, eight hundred thirty-one".