Search a number
-
+
164103281 is a prime number
BaseRepresentation
bin10011100100000…
…00010001110001
3102102210022101022
421302000101301
5314002301111
624141145225
74031566136
oct1162002161
9372708338
10164103281
11846a5251
1246b5b215
1327cc9344
1417b1a58d
15e6182db
hex9c80471

164103281 has 2 divisors, whose sum is σ = 164103282. Its totient is φ = 164103280.

The previous prime is 164103241. The next prime is 164103283. The reversal of 164103281 is 182301461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112550881 + 51552400 = 10609^2 + 7180^2 .

It is a cyclic number.

It is not a de Polignac number, because 164103281 - 222 = 159908977 is a prime.

It is a super-2 number, since 2×1641032812 = 53859773669929922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 164103283, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164103281.

It is not a weakly prime, because it can be changed into another prime (164103283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82051640 + 82051641.

It is an arithmetic number, because the mean of its divisors is an integer number (82051641).

Almost surely, 2164103281 is an apocalyptic number.

It is an amenable number.

164103281 is a deficient number, since it is larger than the sum of its proper divisors (1).

164103281 is an equidigital number, since it uses as much as digits as its factorization.

164103281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 164103281 is about 12810.2802857705. The cubic root of 164103281 is about 547.4852477555.

It can be divided in two parts, 16410 and 3281, that added together give a palindrome (19691).

The spelling of 164103281 in words is "one hundred sixty-four million, one hundred three thousand, two hundred eighty-one".