Search a number
-
+
10100202149 is a prime number
BaseRepresentation
bin10010110100000010…
…01101101010100101
3222001220022102122002
421122001031222211
5131141122432044
64350122215045
7505202205332
oct113201155245
928056272562
1010100202149
114313334404
121b5a654485
13c4c6a1c9b
146bb5a7989
153e1aa274e
hex25a04daa5

10100202149 has 2 divisors, whose sum is σ = 10100202150. Its totient is φ = 10100202148.

The previous prime is 10100202139. The next prime is 10100202247. The reversal of 10100202149 is 94120200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9948666049 + 151536100 = 99743^2 + 12310^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100202149 - 28 = 10100201893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100202149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100202139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050101074 + 5050101075.

It is an arithmetic number, because the mean of its divisors is an integer number (5050101075).

Almost surely, 210100202149 is an apocalyptic number.

It is an amenable number.

10100202149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100202149 is an equidigital number, since it uses as much as digits as its factorization.

10100202149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10100202149 in words is "ten billion, one hundred million, two hundred two thousand, one hundred forty-nine".