Search a number
-
+
10133042317 is a prime number
BaseRepresentation
bin10010110111111100…
…11111010010001101
3222011012002212212121
421123332133102031
5131223024323232
64353254132541
7506051303266
oct113376372215
928135085777
1010133042317
11432a924742
121b69651151
13c5642c938
146c1ab596d
153e48dcd97
hex25bf9f48d

10133042317 has 2 divisors, whose sum is σ = 10133042318. Its totient is φ = 10133042316.

The previous prime is 10133042291. The next prime is 10133042341. The reversal of 10133042317 is 71324033101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8120532996 + 2012509321 = 90114^2 + 44861^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10133042317 is a prime.

It is a super-2 number, since 2×101330423172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133042291 and 10133042300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133042617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066521158 + 5066521159.

It is an arithmetic number, because the mean of its divisors is an integer number (5066521159).

Almost surely, 210133042317 is an apocalyptic number.

It is an amenable number.

10133042317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133042317 is an equidigital number, since it uses as much as digits as its factorization.

10133042317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 10133042317 its reverse (71324033101), we get a palindrome (81457075418).

The spelling of 10133042317 in words is "ten billion, one hundred thirty-three million, forty-two thousand, three hundred seventeen".