Search a number
-
+
133300231121 is a prime number
BaseRepresentation
bin111110000100101010…
…0000001101111010001
3110202001220220100122002
41330021110001233101
54140444324343441
6141123130323345
712426206161301
oct1741124015721
9422056810562
10133300231121
1151594561672
1221a01b89555
13c754838105
146647905601
15370295eb9b
hex1f09501bd1

133300231121 has 2 divisors, whose sum is σ = 133300231122. Its totient is φ = 133300231120.

The previous prime is 133300231111. The next prime is 133300231147. The reversal of 133300231121 is 121132003331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121842883600 + 11457347521 = 349060^2 + 107039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133300231121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133300231093 and 133300231102.

It is not a weakly prime, because it can be changed into another prime (133300231111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66650115560 + 66650115561.

It is an arithmetic number, because the mean of its divisors is an integer number (66650115561).

Almost surely, 2133300231121 is an apocalyptic number.

It is an amenable number.

133300231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133300231121 is an equidigital number, since it uses as much as digits as its factorization.

133300231121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133300231121 its reverse (121132003331), we get a palindrome (254432234452).

The spelling of 133300231121 in words is "one hundred thirty-three billion, three hundred million, two hundred thirty-one thousand, one hundred twenty-one".