Search a number
-
+
34023214081 is a prime number
BaseRepresentation
bin11111101011111100…
…010000110000000001
310020211010200100120001
4133223330100300001
51024134420322311
623344031320001
72313061355653
oct375374206001
9106733610501
1034023214081
111347a24334a
126716380001
133292a53b4c
14190a8c26d3
15d41e374c1
hex7ebf10c01

34023214081 has 2 divisors, whose sum is σ = 34023214082. Its totient is φ = 34023214080.

The previous prime is 34023214073. The next prime is 34023214097. The reversal of 34023214081 is 18041232043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23006822400 + 11016391681 = 151680^2 + 104959^2 .

It is a cyclic number.

It is not a de Polignac number, because 34023214081 - 23 = 34023214073 is a prime.

It is a super-2 number, since 2×340232140812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34023218081) 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, 17011607040 + 17011607041.

It is an arithmetic number, because the mean of its divisors is an integer number (17011607041).

Almost surely, 234023214081 is an apocalyptic number.

It is an amenable number.

34023214081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34023214081 is an equidigital number, since it uses as much as digits as its factorization.

34023214081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 34023214081 in words is "thirty-four billion, twenty-three million, two hundred fourteen thousand, eighty-one".