Search a number
-
+
34122031 is a prime number
BaseRepresentation
bin1000001000101…
…0100100101111
32101012120121221
42002022210233
532213401111
63215204211
7563014066
oct202124457
971176557
1034122031
1118296429
12b516667
1370b9268
1447631dd
152ee0371
hex208a92f

34122031 has 2 divisors, whose sum is σ = 34122032. Its totient is φ = 34122030.

The previous prime is 34122019. The next prime is 34122037. The reversal of 34122031 is 13022143.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (13022143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34122031 - 29 = 34121519 is a prime.

It is a super-2 number, since 2×341220312 = 2328625999129922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34121996 and 34122014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34122037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061015 + 17061016.

It is an arithmetic number, because the mean of its divisors is an integer number (17061016).

Almost surely, 234122031 is an apocalyptic number.

34122031 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122031 is an equidigital number, since it uses as much as digits as its factorization.

34122031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34122031 is about 5841.4065943059. The cubic root of 34122031 is about 324.3482987935.

Adding to 34122031 its reverse (13022143), we get a palindrome (47144174).

The spelling of 34122031 in words is "thirty-four million, one hundred twenty-two thousand, thirty-one".