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2112122011 = 4161844511
BaseRepresentation
bin111110111100100…
…0110110010011011
312110012022220201011
41331321012302123
513311200401021
6545330034351
7103224512056
oct17571066233
95405286634
102112122011
1199426858a
124ab4189b7
1327877354c
14160723a9d
15c565dde1
hex7de46c9b

2112122011 has 8 divisors (see below), whose sum is σ = 2199109248. Its totient is φ = 2026824000.

The previous prime is 2112121981. The next prime is 2112122053. The reversal of 2112122011 is 1102212112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112122011 - 27 = 2112121883 is a prime.

It is a super-2 number, since 2×21121220112 = 8922118778701368242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112121982 and 2112122000.

It is not an unprimeable number, because it can be changed into a prime (2112122081) 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 7 ways as a sum of consecutive naturals, for example, 419755 + ... + 424756.

It is an arithmetic number, because the mean of its divisors is an integer number (274888656).

Almost surely, 22112122011 is an apocalyptic number.

2112122011 is a deficient number, since it is larger than the sum of its proper divisors (86987237).

2112122011 is an equidigital number, since it uses as much as digits as its factorization.

2112122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844613.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2112122011 is about 45957.8286149378. The cubic root of 2112122011 is about 1283.0384382442.

Adding to 2112122011 its reverse (1102212112), we get a palindrome (3214334123).

The spelling of 2112122011 in words is "two billion, one hundred twelve million, one hundred twenty-two thousand, eleven".

Divisors: 1 41 61 2501 844511 34624951 51515171 2112122011