Search a number
-
+
34010214131 is a prime number
BaseRepresentation
bin11111101011001010…
…101010111011110011
310020210020012212222102
4133223022222323303
51024123103323011
623342444531015
72312543023145
oct375312527363
9106706185872
1034010214131
1113472974293
126711b50a6b
13329015197a
141908c9ac95
15d40c1a73b
hex7eb2aaef3

34010214131 has 2 divisors, whose sum is σ = 34010214132. Its totient is φ = 34010214130.

The previous prime is 34010214083. The next prime is 34010214143. The reversal of 34010214131 is 13141201043.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34010214131 - 26 = 34010214067 is a prime.

It is a super-3 number, since 3×340102141313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34010214181) 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, 17005107065 + 17005107066.

It is an arithmetic number, because the mean of its divisors is an integer number (17005107066).

Almost surely, 234010214131 is an apocalyptic number.

34010214131 is a deficient number, since it is larger than the sum of its proper divisors (1).

34010214131 is an equidigital number, since it uses as much as digits as its factorization.

34010214131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34010214131 its reverse (13141201043), we get a palindrome (47151415174).

The spelling of 34010214131 in words is "thirty-four billion, ten million, two hundred fourteen thousand, one hundred thirty-one".