Search a number
-
+
201112211022209 is a prime number
BaseRepresentation
bin101101101110100100010101…
…111001011110000110000001
3222101002010202202220000200222
4231232210111321132012001
5202330010302010202314
61551421401351352425
760234610033111064
oct5556442571360601
9871063682800628
10201112211022209
1159098234157033
121a680a88682715
13882aa52b44b86
143793c50b5a8db
15183b5cba95c8e
hexb6e915e5e181

201112211022209 has 2 divisors, whose sum is σ = 201112211022210. Its totient is φ = 201112211022208.

The previous prime is 201112211022169. The next prime is 201112211022271. The reversal of 201112211022209 is 902220112211102.

201112211022209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124805696692609 + 76306514329600 = 11171647^2 + 8735360^2 .

It is a cyclic number.

It is not a de Polignac number, because 201112211022209 - 240 = 200012699394433 is a prime.

It is a super-2 number, since 2×2011122110222092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201112211022409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100556105511104 + 100556105511105.

It is an arithmetic number, because the mean of its divisors is an integer number (100556105511105).

Almost surely, 2201112211022209 is an apocalyptic number.

It is an amenable number.

201112211022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

201112211022209 is an equidigital number, since it uses as much as digits as its factorization.

201112211022209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 201112211022209 in words is "two hundred one trillion, one hundred twelve billion, two hundred eleven million, twenty-two thousand, two hundred nine".