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2211122133107 is a prime number
BaseRepresentation
bin100000001011010001001…
…001100011100001110011
321211101021220101102211022
4200023101021203201303
5242211334231224412
64411435301010055
7315514445012066
oct40132111434163
97741256342738
102211122133107
11782805889228
122b86443b392b
1313067aba09a4
1479039b548dd
153c7b2ab8a72
hex202d1263873

2211122133107 has 2 divisors, whose sum is σ = 2211122133108. Its totient is φ = 2211122133106.

The previous prime is 2211122133083. The next prime is 2211122133167. The reversal of 2211122133107 is 7013312211122.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2211122133107 - 232 = 2206827165811 is a prime.

It is a super-2 number, since 2×22111221331072 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2211122133167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105561066553 + 1105561066554.

It is an arithmetic number, because the mean of its divisors is an integer number (1105561066554).

Almost surely, 22211122133107 is an apocalyptic number.

2211122133107 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211122133107 is an equidigital number, since it uses as much as digits as its factorization.

2211122133107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 2211122133107 its reverse (7013312211122), we get a palindrome (9224434344229).

The spelling of 2211122133107 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred seven".