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2112211111 is a prime number
BaseRepresentation
bin111110111100101…
…1100100010100111
312110012111102221011
41331321130202213
513311211223421
6545332003051
7103225332613
oct17571344247
95405442834
102112211111
1199431951a
124ab460487
132787a4c7a
14160748343
15c567a4e1
hex7de5c8a7

2112211111 has 2 divisors, whose sum is σ = 2112211112. Its totient is φ = 2112211110.

The previous prime is 2112211099. The next prime is 2112211139. The reversal of 2112211111 is 1111122112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112211111 - 27 = 2112210983 is a prime.

It is a super-2 number, since 2×21122111112 = 8922871554863708642, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112211091 and 2112211100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112211411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056105555 + 1056105556.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105556).

Almost surely, 22112211111 is an apocalyptic number.

2112211111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211111 is an equidigital number, since it uses as much as digits as its factorization.

2112211111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8, while the sum is 13.

The square root of 2112211111 is about 45958.7979716615. The cubic root of 2112211111 is about 1283.0564796763.

Adding to 2112211111 its reverse (1111122112), we get a palindrome (3223333223).

The spelling of 2112211111 in words is "two billion, one hundred twelve million, two hundred eleven thousand, one hundred eleven".