Search a number
-
+
100544613409 is a prime number
BaseRepresentation
bin101110110100011101…
…1010000110000100001
3100121112010102120101201
41131220323100300201
53121403410112114
6114104540001201
710156406053462
oct1355073206041
9317463376351
10100544613409
11397058a4229
12175a0230201
1396345b51b6
144c1b50ad69
152936e66874
hex1768ed0c21

100544613409 has 2 divisors, whose sum is σ = 100544613410. Its totient is φ = 100544613408.

The previous prime is 100544613359. The next prime is 100544613439. The reversal of 100544613409 is 904316445001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51871429009 + 48673184400 = 227753^2 + 220620^2 .

It is a cyclic number.

It is not a de Polignac number, because 100544613409 - 215 = 100544580641 is a prime.

It is not a weakly prime, because it can be changed into another prime (100544613439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50272306704 + 50272306705.

It is an arithmetic number, because the mean of its divisors is an integer number (50272306705).

Almost surely, 2100544613409 is an apocalyptic number.

It is an amenable number.

100544613409 is a deficient number, since it is larger than the sum of its proper divisors (1).

100544613409 is an equidigital number, since it uses as much as digits as its factorization.

100544613409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 100544613409 in words is "one hundred billion, five hundred forty-four million, six hundred thirteen thousand, four hundred nine".