Search a number
-
+
100333132331 is a prime number
BaseRepresentation
bin101110101110001010…
…0100001101000101011
3100120222101111012220012
41131130110201220223
53120440240213311
6114031543122135
710151230360535
oct1353424415053
9316871435805
10100333132331
113960748a383
121754144334b
1395cc83b173
144bdb3ba855
1529235e078b
hex175c521a2b

100333132331 has 2 divisors, whose sum is σ = 100333132332. Its totient is φ = 100333132330.

The previous prime is 100333132261. The next prime is 100333132381. The reversal of 100333132331 is 133231333001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100333132331 - 210 = 100333131307 is a prime.

It is a super-2 number, since 2×1003331323312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100333132297 and 100333132306.

It is not a weakly prime, because it can be changed into another prime (100333132381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166566165 + 50166566166.

It is an arithmetic number, because the mean of its divisors is an integer number (50166566166).

Almost surely, 2100333132331 is an apocalyptic number.

100333132331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333132331 is an equidigital number, since it uses as much as digits as its factorization.

100333132331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 100333132331 its reverse (133231333001), we get a palindrome (233564465332).

The spelling of 100333132331 in words is "one hundred billion, three hundred thirty-three million, one hundred thirty-two thousand, three hundred thirty-one".