Search a number
-
+
112122021121011 = 32111959607666731
BaseRepresentation
bin11001011111100101110001…
…001111011000101111110011
3112200222202112102122211101100
4121133211301033120233303
5104144001344401333021
61034244051224535443
732421356130450246
oct3137456117305763
9480882472584340
10112122021121011
11327a87559a9240
12106a9bba021583
134a740a4680985
141d98a4032d25d
15ce683ed2b626
hex65f9713d8bf3

112122021121011 has 24 divisors (see below), whose sum is σ = 185975920203840. Its totient is φ = 64376280068400.

The previous prime is 112122021121007. The next prime is 112122021121013. The reversal of 112122021121011 is 110121120221211.

It is a happy number.

112122021121011 is a `hidden beast` number, since 1 + 1 + 21 + 220 + 211 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 112122021121011 - 22 = 112122021121007 is a prime.

It is a super-2 number, since 2×1121220211210112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112122021121013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29803831485 + ... + 29803835246.

It is an arithmetic number, because the mean of its divisors is an integer number (7748996675160).

Almost surely, 2112122021121011 is an apocalyptic number.

112122021121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112122021121011 is a deficient number, since it is larger than the sum of its proper divisors (73853899082829).

112122021121011 is a wasteful number, since it uses less digits than its factorization.

112122021121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59607666767 (or 59607666764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112122021121011 its reverse (110121120221211), we get a palindrome (222243141342222).

The spelling of 112122021121011 in words is "one hundred twelve trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, eleven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 59607666731 178823000193 536469000579 655684334041 1132545667889 1967053002123 3397637003667 5901159006369 10192911011001 12458002346779 37374007040337 112122021121011