Search a number
-
+
100123110149 is a prime number
BaseRepresentation
bin101110100111111001…
…1010110101100000101
3100120102202021222121212
41131033303112230011
53120023004011044
6113555041421205
710143100252136
oct1351763265405
9316382258555
10100123110149
1139509981627
12174a303a805
13959818519a
144bbb549c8d
15290ee56a9e
hex174fcd6b05

100123110149 has 2 divisors, whose sum is σ = 100123110150. Its totient is φ = 100123110148.

The previous prime is 100123110119. The next prime is 100123110179. The reversal of 100123110149 is 941011321001.

It is a balanced prime because it is at equal distance from previous prime (100123110119) and next prime (100123110179).

It can be written as a sum of positive squares in only one way, i.e., 98521909924 + 1601200225 = 313882^2 + 40015^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123110149 - 220 = 100122061573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123110119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061555074 + 50061555075.

It is an arithmetic number, because the mean of its divisors is an integer number (50061555075).

Almost surely, 2100123110149 is an apocalyptic number.

It is an amenable number.

100123110149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123110149 is an equidigital number, since it uses as much as digits as its factorization.

100123110149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 100123110149 in words is "one hundred billion, one hundred twenty-three million, one hundred ten thousand, one hundred forty-nine".