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211101222113 is a prime number
BaseRepresentation
bin1100010010011010011…
…1010000010011100001
3202011220000012012100222
43010212213100103201
511424313403101423
6240551211452425
721152166532025
oct3044647202341
9664800165328
10211101222113
1181589155731
1234ab5457115
1316ba31c7662
14a3085c0385
155757d5a3c8
hex31269d04e1

211101222113 has 2 divisors, whose sum is σ = 211101222114. Its totient is φ = 211101222112.

The previous prime is 211101222109. The next prime is 211101222149. The reversal of 211101222113 is 311222101112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210820559104 + 280663009 = 459152^2 + 16753^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101222113 - 22 = 211101222109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211101222091 and 211101222100.

It is not a weakly prime, because it can be changed into another prime (211101222193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550611056 + 105550611057.

It is an arithmetic number, because the mean of its divisors is an integer number (105550611057).

Almost surely, 2211101222113 is an apocalyptic number.

It is an amenable number.

211101222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101222113 is an equidigital number, since it uses as much as digits as its factorization.

211101222113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211101222113 its reverse (311222101112), we get a palindrome (522323323225).

The spelling of 211101222113 in words is "two hundred eleven billion, one hundred one million, two hundred twenty-two thousand, one hundred thirteen".