Search a number
-
+
105020102141 is a prime number
BaseRepresentation
bin110000111001110101…
…1111001010111111101
3101001002000211221202122
41201303223321113331
53210040121232031
6120125013132325
710405332065543
oct1416353712775
9331060757678
10105020102141
11405a2123149
121842b02a0a5
139b98889096
145123a75d93
152ae9d1247b
hex1873af95fd

105020102141 has 2 divisors, whose sum is σ = 105020102142. Its totient is φ = 105020102140.

The previous prime is 105020102123. The next prime is 105020102147. The reversal of 105020102141 is 141201020501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91524400900 + 13495701241 = 302530^2 + 116171^2 .

It is an emirp because it is prime and its reverse (141201020501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105020102141 - 214 = 105020085757 is a prime.

It is a super-2 number, since 2×1050201021412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105020102147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52510051070 + 52510051071.

It is an arithmetic number, because the mean of its divisors is an integer number (52510051071).

Almost surely, 2105020102141 is an apocalyptic number.

It is an amenable number.

105020102141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105020102141 is an equidigital number, since it uses as much as digits as its factorization.

105020102141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 105020102141 its reverse (141201020501), we get a palindrome (246221122642).

The spelling of 105020102141 in words is "one hundred five billion, twenty million, one hundred two thousand, one hundred forty-one".