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211111102211122 = 21741260958046257
BaseRepresentation
bin110000000000000100100010…
…010000010110010000110010
31000200111000122200200211200001
4300000010202100112100302
5210132321014131223442
62024555033531020214
762316162625644121
oct6000044220262062
91020430580624601
10211111102211122
11612a27965a7953
121b8168b4b9a66a
1390a48cb356059
143a1bb908d5ab8
15196173e4b22b7
hexc00122416432

211111102211122 has 32 divisors (see below), whose sum is σ = 343603663305840. Its totient is φ = 96886166814720.

The previous prime is 211111102211101. The next prime is 211111102211123. The reversal of 211111102211122 is 221112201111112.

It can be written as a sum of positive squares in 8 ways, for example, as 39181077351441 + 171930024859681 = 6259479^2 + 13112209^2 .

It is a super-3 number, since 3×2111111022111223 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211111102211122.

It is not an unprimeable number, because it can be changed into a prime (211111102211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25386183 + ... + 32660074.

Almost surely, 2211111102211122 is an apocalyptic number.

211111102211122 is a deficient number, since it is larger than the sum of its proper divisors (132492561094718).

211111102211122 is a wasteful number, since it uses less digits than its factorization.

211111102211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58048926.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 211111102211122 its reverse (221112201111112), we get a palindrome (432223303322234).

The spelling of 211111102211122 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 17 34 41 82 697 1394 2609 5218 44353 88706 106969 213938 1818473 3636946 58046257 116092514 986786369 1973572738 2379896537 4759793074 40458241129 80916482258 151442684513 302885369026 2574525636721 5149051273442 6209150065033 12418300130066 105555551105561 211111102211122