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222113102200109 is a prime number
BaseRepresentation
bin110010100000001010111100…
…100011100111110100101101
31002010102210201222200111002122
4302200022330203213310231
5213103100113130400414
62104221203413202325
764533066505565231
oct6240127443476455
91063383658614078
10222113102200109
116485470179611a
1220ab30106303a5
1396c2238c1c433
143cbc48d9225c1
151aa2a1152ab8e
hexca02bc8e7d2d

222113102200109 has 2 divisors, whose sum is σ = 222113102200110. Its totient is φ = 222113102200108.

The previous prime is 222113102200097. The next prime is 222113102200139. The reversal of 222113102200109 is 901002201311222.

222113102200109 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., 221982435855625 + 130666344484 = 14899075^2 + 361478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222113102200109 is a prime.

It is a super-3 number, since 3×2221131022001093 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222113102200139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056551100054 + 111056551100055.

It is an arithmetic number, because the mean of its divisors is an integer number (111056551100055).

Almost surely, 2222113102200109 is an apocalyptic number.

It is an amenable number.

222113102200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

222113102200109 is an equidigital number, since it uses as much as digits as its factorization.

222113102200109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 222113102200109 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred two million, two hundred thousand, one hundred nine".