Search a number
-
+
100624451593 is a prime number
BaseRepresentation
bin101110110110110101…
…1110100100000001001
3100121201200122202210111
41131231223310200021
53122034324422333
6114120511114321
710161365504041
oct1355553644011
9317650582714
10100624451593
11397469748a6
1217602b129a1
139647cb9a23
144c27d70721
15293de874cd
hex176daf4809

100624451593 has 2 divisors, whose sum is σ = 100624451594. Its totient is φ = 100624451592.

The previous prime is 100624451537. The next prime is 100624451699. The reversal of 100624451593 is 395154426001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63022587849 + 37601863744 = 251043^2 + 193912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100624451593 is a prime.

It is not a weakly prime, because it can be changed into another prime (100624451513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50312225796 + 50312225797.

It is an arithmetic number, because the mean of its divisors is an integer number (50312225797).

Almost surely, 2100624451593 is an apocalyptic number.

It is an amenable number.

100624451593 is a deficient number, since it is larger than the sum of its proper divisors (1).

100624451593 is an equidigital number, since it uses as much as digits as its factorization.

100624451593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 100624451593 its reverse (395154426001), we get a palindrome (495778877594).

The spelling of 100624451593 in words is "one hundred billion, six hundred twenty-four million, four hundred fifty-one thousand, five hundred ninety-three".