Search a number
-
+
133224202422331 is a prime number
BaseRepresentation
bin11110010010101010101101…
…010000101100100000111011
3122110201002221201200200122121
4132102222231100230200323
5114430221131310003311
61151202204221302111
740030062634126606
oct3622525520544073
9573632851620577
10133224202422331
11394a4081135229
1212b378aba04937
135944cb06252c7
1424c812b62533d
151060701dd9b71
hex792aad42c83b

133224202422331 has 2 divisors, whose sum is σ = 133224202422332. Its totient is φ = 133224202422330.

The previous prime is 133224202422287. The next prime is 133224202422341.

It is a happy number.

133224202422331 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 133224202422331 - 227 = 133224068204603 is a prime.

It is a super-2 number, since 2×1332242024223312 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133224202422341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66612101211165 + 66612101211166.

It is an arithmetic number, because the mean of its divisors is an integer number (66612101211166).

Almost surely, 2133224202422331 is an apocalyptic number.

133224202422331 is a deficient number, since it is larger than the sum of its proper divisors (1).

133224202422331 is an equidigital number, since it uses as much as digits as its factorization.

133224202422331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 13322420 and 2422331, that added together give a palindrome (15744751).

The spelling of 133224202422331 in words is "one hundred thirty-three trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, three hundred thirty-one".