Search a number
-
+
100002210149 is a prime number
BaseRepresentation
bin101110100100010011…
…0001010000101100101
3100120010022210122000002
41131020212022011211
53114301031211044
6113535042231045
710140101522042
oct1351046120545
9316108718002
10100002210149
1139457705676
121746a655485
13957910471a
144ba94781c9
15290452474e
hex174898a165

100002210149 has 2 divisors, whose sum is σ = 100002210150. Its totient is φ = 100002210148.

The previous prime is 100002210083. The next prime is 100002210151. The reversal of 100002210149 is 941012200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54234025924 + 45768184225 = 232882^2 + 213935^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002210149 - 28 = 100002209893 is a prime.

Together with 100002210151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100002210149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002213149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001105074 + 50001105075.

It is an arithmetic number, because the mean of its divisors is an integer number (50001105075).

Almost surely, 2100002210149 is an apocalyptic number.

It is an amenable number.

100002210149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002210149 is an equidigital number, since it uses as much as digits as its factorization.

100002210149 is an evil number, because the sum of its binary digits is even.

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

The spelling of 100002210149 in words is "one hundred billion, two million, two hundred ten thousand, one hundred forty-nine".