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2112022121 = 111929348461
BaseRepresentation
bin111110111100010…
…1110011001101001
312110012010211200112
41331320232121221
513311134201441
6545323544105
7103223614616
oct17570563151
95405124615
102112022121
119941aa530
124ab38b035
13278739c41
141606d950d
15c563e4eb
hex7de2e669

2112022121 has 16 divisors (see below), whose sum is σ = 2508926400. Its totient is φ = 1756238400.

The previous prime is 2112022111. The next prime is 2112022141. The reversal of 2112022121 is 1212202112.

It is not a de Polignac number, because 2112022121 - 218 = 2111759977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112022096 and 2112022105.

It is not an unprimeable number, because it can be changed into a prime (2112022111) 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 in 15 ways as a sum of consecutive naturals, for example, 168170 + ... + 180291.

It is an arithmetic number, because the mean of its divisors is an integer number (156807900).

Almost surely, 22112022121 is an apocalyptic number.

It is an amenable number.

2112022121 is a deficient number, since it is larger than the sum of its proper divisors (396904279).

2112022121 is a wasteful number, since it uses less digits than its factorization.

2112022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348520.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2112022121 is about 45956.7418449132. The cubic root of 2112022121 is about 1283.0182113935.

Adding to 2112022121 its reverse (1212202112), we get a palindrome (3324224233).

Subtracting from 2112022121 its reverse (1212202112), we obtain a square (899820009 = 299972).

The spelling of 2112022121 in words is "two billion, one hundred twelve million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 19 29 209 319 551 6061 348461 3833071 6620759 10105369 72828349 111159059 192002011 2112022121