Search a number
-
+
133301300022031 is a prime number
BaseRepresentation
bin11110010011110010100000…
…101000101100101100001111
3122110222110221210102112221011
4132103302200220230230033
5114433002030301201111
61151301434414350051
740035462323663011
oct3623624050545417
9573873853375834
10133301300022031
1139523844782a79
1212b4a8277bb327
13594c34935899b
1424cbb62b221b1
151062715693021
hex793ca0a2cb0f

133301300022031 has 2 divisors, whose sum is σ = 133301300022032. Its totient is φ = 133301300022030.

The previous prime is 133301300021977. The next prime is 133301300022049. The reversal of 133301300022031 is 130220003103331.

It is a strong prime.

It is an emirp because it is prime and its reverse (130220003103331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133301300022031 - 213 = 133301300013839 is a prime.

It is a super-2 number, since 2×1333013000220312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133301300021993 and 133301300022011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133301300022431) 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, 66650650011015 + 66650650011016.

It is an arithmetic number, because the mean of its divisors is an integer number (66650650011016).

Almost surely, 2133301300022031 is an apocalyptic number.

133301300022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

133301300022031 is an equidigital number, since it uses as much as digits as its factorization.

133301300022031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133301300022031 its reverse (130220003103331), we get a palindrome (263521303125362).

The spelling of 133301300022031 in words is "one hundred thirty-three trillion, three hundred one billion, three hundred million, twenty-two thousand, thirty-one".