Search a number
-
+
100032100232033 is a prime number
BaseRepresentation
bin10110101111101010001001…
…110011001110101101100001
3111010011222100001120021101102
4112233222021303032231201
5101102411220124411113
6552430040142044145
730033036460462454
oct2657521163165541
9433158301507342
10100032100232033
1129967414827662
12b276a83b79655
1343a7ca967a698
141a9b81816749b
15b870e79a9758
hex5afa89cceb61

100032100232033 has 2 divisors, whose sum is σ = 100032100232034. Its totient is φ = 100032100232032.

The previous prime is 100032100232021. The next prime is 100032100232041. The reversal of 100032100232033 is 330232001230001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58825034383504 + 41207065848529 = 7669748^2 + 6419273^2 .

It is a cyclic number.

It is not a de Polignac number, because 100032100232033 - 224 = 100032083454817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100032100231996 and 100032100232014.

It is not a weakly prime, because it can be changed into another prime (100032100232633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016050116016 + 50016050116017.

It is an arithmetic number, because the mean of its divisors is an integer number (50016050116017).

Almost surely, 2100032100232033 is an apocalyptic number.

It is an amenable number.

100032100232033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100032100232033 is an equidigital number, since it uses as much as digits as its factorization.

100032100232033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100032100232033 its reverse (330232001230001), we get a palindrome (430264101462034).

The spelling of 100032100232033 in words is "one hundred trillion, thirty-two billion, one hundred million, two hundred thirty-two thousand, thirty-three".