Search a number
-
+
133100102220121 is a prime number
BaseRepresentation
bin11110010000110111001000…
…010011111111100101011001
3122110021020121222021020010001
4132100313020103333211121
5114421203002132020441
61151025202015253001
740015110416614111
oct3620671023774531
9573236558236101
10133100102220121
1139456488877543
1212b17836b1a161
135936393b349aa
1424c2117924041
15105c38beb9731
hex790dc84ff959

133100102220121 has 2 divisors, whose sum is σ = 133100102220122. Its totient is φ = 133100102220120.

The previous prime is 133100102220091. The next prime is 133100102220143. The reversal of 133100102220121 is 121022201001331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98700469605721 + 34399632614400 = 9934811^2 + 5865120^2 .

It is a cyclic number.

It is not a de Polignac number, because 133100102220121 - 27 = 133100102219993 is a prime.

It is a super-2 number, since 2×1331001022201212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133100102220181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550051110060 + 66550051110061.

It is an arithmetic number, because the mean of its divisors is an integer number (66550051110061).

Almost surely, 2133100102220121 is an apocalyptic number.

It is an amenable number.

133100102220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133100102220121 is an equidigital number, since it uses as much as digits as its factorization.

133100102220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 133100102220121 its reverse (121022201001331), we get a palindrome (254122303221452).

The spelling of 133100102220121 in words is "one hundred thirty-three trillion, one hundred billion, one hundred two million, two hundred twenty thousand, one hundred twenty-one".