Search a number
-
+
33214410113201 is a prime number
BaseRepresentation
bin1111000110101010101010…
…00111011100000010110001
311100121021012100102022112222
413203111111013130002301
513323141102442110301
6154350253411330425
76665443021501202
oct743252507340261
9140537170368488
1033214410113201
11a64617467a299
1238852128b0a15
13156c14a83ca05
1482b82c0b55a9
153c8eb2ad531b
hex1e35551dc0b1

33214410113201 has 2 divisors, whose sum is σ = 33214410113202. Its totient is φ = 33214410113200.

The previous prime is 33214410113107. The next prime is 33214410113231. The reversal of 33214410113201 is 10231101441233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24016625256976 + 9197784856225 = 4900676^2 + 3032785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33214410113201 is a prime.

It is a super-2 number, since 2×332144101132012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33214410113231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16607205056600 + 16607205056601.

It is an arithmetic number, because the mean of its divisors is an integer number (16607205056601).

Almost surely, 233214410113201 is an apocalyptic number.

It is an amenable number.

33214410113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33214410113201 is an equidigital number, since it uses as much as digits as its factorization.

33214410113201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 33214410113201 its reverse (10231101441233), we get a palindrome (43445511554434).

The spelling of 33214410113201 in words is "thirty-three trillion, two hundred fourteen billion, four hundred ten million, one hundred thirteen thousand, two hundred one".