Search a number
-
+
33134100031 is a prime number
BaseRepresentation
bin11110110110111100…
…100011111000111111
310011112011122200101001
4132312330203320333
51020324312200111
623115510431131
72252044126504
oct366674437077
9104464580331
1033134100031
111306337684a
1265086624a7
13318079c366
14186479b4ab
15cddd5b1c1
hex7b6f23e3f

33134100031 has 2 divisors, whose sum is σ = 33134100032. Its totient is φ = 33134100030.

The previous prime is 33134100007. The next prime is 33134100049. The reversal of 33134100031 is 13000143133.

It is a strong prime.

It is an emirp because it is prime and its reverse (13000143133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33134100031 is a prime.

It is a super-2 number, since 2×331341000312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33134099981 and 33134100008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33134100001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16567050015 + 16567050016.

It is an arithmetic number, because the mean of its divisors is an integer number (16567050016).

Almost surely, 233134100031 is an apocalyptic number.

33134100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

33134100031 is an equidigital number, since it uses as much as digits as its factorization.

33134100031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 33134100031 its reverse (13000143133), we get a palindrome (46134243164).

The spelling of 33134100031 in words is "thirty-three billion, one hundred thirty-four million, one hundred thousand, thirty-one".