Search a number
-
+
33402353226001 is a prime number
BaseRepresentation
bin1111001100001000101110…
…11001100001000100010001
311101021020022102112200010121
413212010113121201010101
513334231004411213001
6155012455040430241
710015145310550444
oct746042731410421
9141236272480117
1033402353226001
11a708949664701
1238b5724618381
131583a9cc9a1b6
1483697abab65b
153cdd127ed6a1
hex1e6117661111

33402353226001 has 2 divisors, whose sum is σ = 33402353226002. Its totient is φ = 33402353226000.

The previous prime is 33402353225981. The next prime is 33402353226029. The reversal of 33402353226001 is 10062235320433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33364209182976 + 38144043025 = 5776176^2 + 195305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33402353226001 is a prime.

It is a super-2 number, since 2×334023532260012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33402353226901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16701176613000 + 16701176613001.

It is an arithmetic number, because the mean of its divisors is an integer number (16701176613001).

Almost surely, 233402353226001 is an apocalyptic number.

It is an amenable number.

33402353226001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33402353226001 is an equidigital number, since it uses as much as digits as its factorization.

33402353226001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 33402353226001 its reverse (10062235320433), we get a palindrome (43464588546434).

The spelling of 33402353226001 in words is "thirty-three trillion, four hundred two billion, three hundred fifty-three million, two hundred twenty-six thousand, one".