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10133110033 is a prime number
BaseRepresentation
bin10010110111111101…
…01111110100010001
3222011012020022202121
421123332233310101
5131223034010113
64353255414241
7506052004564
oct113376576421
928135208677
1010133110033
11432a970602
121b69684381
13c564546c7
146c1ad24db
153e4902e8d
hex25bfafd11

10133110033 has 2 divisors, whose sum is σ = 10133110034. Its totient is φ = 10133110032.

The previous prime is 10133110019. The next prime is 10133110051. The reversal of 10133110033 is 33001133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9865852929 + 267257104 = 99327^2 + 16348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10133110033 is a prime.

It is a super-2 number, since 2×101331100332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133109989 and 10133110016.

It is not a weakly prime, because it can be changed into another prime (10133111033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066555016 + 5066555017.

It is an arithmetic number, because the mean of its divisors is an integer number (5066555017).

Almost surely, 210133110033 is an apocalyptic number.

It is an amenable number.

10133110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133110033 is an equidigital number, since it uses as much as digits as its factorization.

10133110033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10133110033 its reverse (33001133101), we get a palindrome (43134243134).

The spelling of 10133110033 in words is "ten billion, one hundred thirty-three million, one hundred ten thousand, thirty-three".