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220120002011 = 731328345751
BaseRepresentation
bin1100110100000000101…
…1001010110111011011
3210001011112121200120002
43031000023022313123
512101301210031021
6245042143323215
721621531101000
oct3150013126733
9701145550502
10220120002011
1185397003538
12367b18b050b
13179ac821900
14a9222c38a7
155ad49e650b
hex33402caddb

220120002011 has 48 divisors (see below), whose sum is σ = 281319897600. Its totient is φ = 172058796000.

The previous prime is 220120001993. The next prime is 220120002023. The reversal of 220120002011 is 110200021022.

It is a happy number.

220120002011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220120002011 - 210 = 220120000987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220120001983 and 220120002001.

It is not an unprimeable number, because it can be changed into a prime (220120002031) 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 47 ways as a sum of consecutive naturals, for example, 4788386 + ... + 4834136.

It is an arithmetic number, because the mean of its divisors is an integer number (5860831200).

Almost surely, 2220120002011 is an apocalyptic number.

220120002011 is a deficient number, since it is larger than the sum of its proper divisors (61199895589).

220120002011 is an equidigital number, since it uses as much as digits as its factorization.

220120002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45881 (or 45854 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220120002011 its reverse (110200021022), we get a palindrome (330320023033).

The spelling of 220120002011 in words is "two hundred twenty billion, one hundred twenty million, two thousand, eleven".

Divisors: 1 7 13 49 83 91 169 343 581 637 1079 1183 4067 4459 7553 8281 14027 28469 45751 52871 57967 98189 320257 370097 594763 687323 2241799 3797333 4163341 4811261 7731919 15692593 26581331 29143387 49365329 54123433 186069317 204003709 345557303 378864031 641749277 1302485219 2418901121 2652048217 4492244939 16932307847 31445714573 220120002011