Search a number
-
+
33013211201 is a prime number
BaseRepresentation
bin11110101111101111…
…011010000001000001
310011012202011220001222
4132233233122001001
51020102340224301
623055511404425
72246045444105
oct365757320101
9104182156058
1033013211201
1113001108223
126494083715
1331617239c9
1418526cd905
15cd342c31b
hex7afbda041

33013211201 has 2 divisors, whose sum is σ = 33013211202. Its totient is φ = 33013211200.

The previous prime is 33013211129. The next prime is 33013211213. The reversal of 33013211201 is 10211231033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18164570176 + 14848641025 = 134776^2 + 121855^2 .

It is a cyclic number.

It is not a de Polignac number, because 33013211201 - 222 = 33009016897 is a prime.

It is a super-2 number, since 2×330132112012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33013211201.

It is not a weakly prime, because it can be changed into another prime (33013211221) 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, 16506605600 + 16506605601.

It is an arithmetic number, because the mean of its divisors is an integer number (16506605601).

Almost surely, 233013211201 is an apocalyptic number.

It is an amenable number.

33013211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013211201 is an equidigital number, since it uses as much as digits as its factorization.

33013211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33013211201 its reverse (10211231033), we get a palindrome (43224442234).

The spelling of 33013211201 in words is "thirty-three billion, thirteen million, two hundred eleven thousand, two hundred one".