Search a number
-
+
100241435309 is a prime number
BaseRepresentation
bin101110101011011011…
…0101110101010101101
3100120201222221112020012
41131112312232222231
53120243301412214
6114014505503005
710146035066351
oct1352666565255
9316658845205
10100241435309
113956a74a014
12175167a1a65
1395b6843982
144bcd14b461
15291a52b03e
hex1756daeaad

100241435309 has 2 divisors, whose sum is σ = 100241435310. Its totient is φ = 100241435308.

The previous prime is 100241435303. The next prime is 100241435311. The reversal of 100241435309 is 903534142001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91851424900 + 8390010409 = 303070^2 + 91597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100241435309 is a prime.

Together with 100241435311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100241435303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50120717654 + 50120717655.

It is an arithmetic number, because the mean of its divisors is an integer number (50120717655).

Almost surely, 2100241435309 is an apocalyptic number.

It is an amenable number.

100241435309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100241435309 is an equidigital number, since it uses as much as digits as its factorization.

100241435309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 100241435309 in words is "one hundred billion, two hundred forty-one million, four hundred thirty-five thousand, three hundred nine".