Search a number
-
+
1033011113129 is a prime number
BaseRepresentation
bin11110000100001000100…
…00101010110010101001
310122202101022122201112122
433002010100222302221
5113411101321110004
62110320405121025
7134426656404242
oct17020420526251
93582338581478
101033011113129
1136910892a876
121482553b9175
1376549436588
1437dd874bcc9
151bd0e8cbcbe
hexf08442aca9

1033011113129 has 2 divisors, whose sum is σ = 1033011113130. Its totient is φ = 1033011113128.

The previous prime is 1033011113117. The next prime is 1033011113237. The reversal of 1033011113129 is 9213111103301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 619109317225 + 413901795904 = 786835^2 + 643352^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033011113129 - 232 = 1028716145833 is a prime.

It is a super-2 number, since 2×10330111131292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033011113098 and 1033011113107.

It is not a weakly prime, because it can be changed into another prime (1033011118129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516505556564 + 516505556565.

It is an arithmetic number, because the mean of its divisors is an integer number (516505556565).

Almost surely, 21033011113129 is an apocalyptic number.

It is an amenable number.

1033011113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033011113129 is an equidigital number, since it uses as much as digits as its factorization.

1033011113129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 1033011113129 in words is "one trillion, thirty-three billion, eleven million, one hundred thirteen thousand, one hundred twenty-nine".