Search a number
-
+
34013252929 is a prime number
BaseRepresentation
bin11111101011010110…
…010000110101000001
310020210102221021102111
4133223112100311001
51024124343043204
623343034015321
72312610610465
oct375326206501
9106712837374
1034013252929
111347465a397
126712b77541
133290976b86
14190944c4a5
15d4111ad04
hex7eb590d41

34013252929 has 2 divisors, whose sum is σ = 34013252930. Its totient is φ = 34013252928.

The previous prime is 34013252927. The next prime is 34013252947. The reversal of 34013252929 is 92925231043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18181825600 + 15831427329 = 134840^2 + 125823^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013252929 - 21 = 34013252927 is a prime.

Together with 34013252927, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 34013252891 and 34013252900.

It is not a weakly prime, because it can be changed into another prime (34013252927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006626464 + 17006626465.

It is an arithmetic number, because the mean of its divisors is an integer number (17006626465).

Almost surely, 234013252929 is an apocalyptic number.

It is an amenable number.

34013252929 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013252929 is an equidigital number, since it uses as much as digits as its factorization.

34013252929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 34013252929 in words is "thirty-four billion, thirteen million, two hundred fifty-two thousand, nine hundred twenty-nine".