Search a number
-
+
2100000169 is a prime number
BaseRepresentation
bin111110100101011…
…0111010110101001
312102100112001200001
41331022313112221
513300100001134
6544214143001
7103016464321
oct17512672651
95370461601
102100000169
11988439233
124a7351a61
132760bac67
1415cc8a281
15c4567414
hex7d2b75a9

2100000169 has 2 divisors, whose sum is σ = 2100000170. Its totient is φ = 2100000168.

The previous prime is 2100000151. The next prime is 2100000173. The reversal of 2100000169 is 9610000012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1398386025 + 701614144 = 37395^2 + 26488^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100000169 - 217 = 2099869097 is a prime.

It is a super-2 number, since 2×21000001692 = 8820001419600057122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100000569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050000084 + 1050000085.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000085).

Almost surely, 22100000169 is an apocalyptic number.

It is an amenable number.

2100000169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100000169 is an equidigital number, since it uses as much as digits as its factorization.

2100000169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 2100000169 is about 45825.7587934995. The cubic root of 2100000169 is about 1280.5791993395.

The spelling of 2100000169 in words is "two billion, one hundred million, one hundred sixty-nine", and thus it is an aban number.