Search a number
-
+
10182222209 is a prime number
BaseRepresentation
bin10010111101110100…
…00110000110000001
3222021121122111000002
421132322012012001
5131323122102314
64402212205345
7510216314015
oct113672060601
928247574002
1010182222209
114355665285
121b82009855
13c6368b973
146c8438545
153e8da4ade
hex25ee86181

10182222209 has 2 divisors, whose sum is σ = 10182222210. Its totient is φ = 10182222208.

The previous prime is 10182222157. The next prime is 10182222241. The reversal of 10182222209 is 90222228101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6205027984 + 3977194225 = 78772^2 + 63065^2 .

It is an emirp because it is prime and its reverse (90222228101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10182222209 - 28 = 10182221953 is a prime.

It is a super-2 number, since 2×101822222092 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10182222409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5091111104 + 5091111105.

It is an arithmetic number, because the mean of its divisors is an integer number (5091111105).

Almost surely, 210182222209 is an apocalyptic number.

It is an amenable number.

10182222209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10182222209 is an equidigital number, since it uses as much as digits as its factorization.

10182222209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 10182222209 in words is "ten billion, one hundred eighty-two million, two hundred twenty-two thousand, two hundred nine".