Search a number
-
+
34054033133 is a prime number
BaseRepresentation
bin11111101101110001…
…110100111011101101
310020220021200010100102
4133231301310323231
51024220313030013
623351052040445
72313614335301
oct375561647355
9106807603312
1034054033133
111349568313a
126724763125
133299254883
141910a25d01
15d449c3d58
hex7edc74eed

34054033133 has 2 divisors, whose sum is σ = 34054033134. Its totient is φ = 34054033132.

The previous prime is 34054033073. The next prime is 34054033183. The reversal of 34054033133 is 33133045043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33739077124 + 314956009 = 183682^2 + 17747^2 .

It is a cyclic number.

It is not a de Polignac number, because 34054033133 - 226 = 33986924269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34054033096 and 34054033105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34054033183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17027016566 + 17027016567.

It is an arithmetic number, because the mean of its divisors is an integer number (17027016567).

Almost surely, 234054033133 is an apocalyptic number.

It is an amenable number.

34054033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34054033133 is an equidigital number, since it uses as much as digits as its factorization.

34054033133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 29.

Adding to 34054033133 its reverse (33133045043), we get a palindrome (67187078176).

The spelling of 34054033133 in words is "thirty-four billion, fifty-four million, thirty-three thousand, one hundred thirty-three".