Search a number
-
+
33345454403201 is a prime number
BaseRepresentation
bin1111001010011110101111…
…11101101110111010000001
311101001210110001100222202012
413211033113331232322001
513332312442311400301
6154530405033302305
710011062305542623
oct745172775567201
9141053401328665
1033345454403201
11a696800772a06
1238a66a5264995
13157b602b8ab05
14833d0013ac13
153cc5d2477ebb
hex1e53d7f6ee81

33345454403201 has 2 divisors, whose sum is σ = 33345454403202. Its totient is φ = 33345454403200.

The previous prime is 33345454403197. The next prime is 33345454403203. The reversal of 33345454403201 is 10230445454333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19496189871601 + 13849264531600 = 4415449^2 + 3721460^2 .

It is a cyclic number.

It is not a de Polignac number, because 33345454403201 - 22 = 33345454403197 is a prime.

It is a super-2 number, since 2×333454544032012 (a number of 28 digits) contains 22 as substring.

Together with 33345454403203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33345454403203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16672727201600 + 16672727201601.

It is an arithmetic number, because the mean of its divisors is an integer number (16672727201601).

Almost surely, 233345454403201 is an apocalyptic number.

It is an amenable number.

33345454403201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33345454403201 is an equidigital number, since it uses as much as digits as its factorization.

33345454403201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1036800, while the sum is 41.

Adding to 33345454403201 its reverse (10230445454333), we get a palindrome (43575899857534).

The spelling of 33345454403201 in words is "thirty-three trillion, three hundred forty-five billion, four hundred fifty-four million, four hundred three thousand, two hundred one".