Search a number
-
+
133322030233201 is a prime number
BaseRepresentation
bin11110010100000101110100…
…010000001011011001110001
3122111001110110111222101121001
4132110011310100023121301
5114433322004214430301
61151315143431002001
740040125123606315
oct3624056420133161
9574043414871531
10133322030233201
11395316124064a7
1212b52852209301
1359512a10bcb24
1424ccb6bda7b45
15106302a59cc01
hex79417440b671

133322030233201 has 2 divisors, whose sum is σ = 133322030233202. Its totient is φ = 133322030233200.

The previous prime is 133322030233109. The next prime is 133322030233267. The reversal of 133322030233201 is 102332030223331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132002176208400 + 1319854024801 = 11489220^2 + 1148849^2 .

It is a cyclic number.

It is not a de Polignac number, because 133322030233201 - 233 = 133313440298609 is a prime.

It is a super-2 number, since 2×1333220302332012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133322030233201.

It is not a weakly prime, because it can be changed into another prime (133322030233001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66661015116600 + 66661015116601.

It is an arithmetic number, because the mean of its divisors is an integer number (66661015116601).

Almost surely, 2133322030233201 is an apocalyptic number.

It is an amenable number.

133322030233201 is a deficient number, since it is larger than the sum of its proper divisors (1).

133322030233201 is an equidigital number, since it uses as much as digits as its factorization.

133322030233201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 133322030233201 its reverse (102332030223331), we get a palindrome (235654060456532).

The spelling of 133322030233201 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, thirty million, two hundred thirty-three thousand, two hundred one".