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2012021220 = 2235118934253
BaseRepresentation
bin111011111101101…
…0000000111100100
312012012222021020110
41313323100013210
513110034134340
6531352333020
7100600620036
oct16773200744
95165867213
102012021220
11942808360
124819a4170
13260ac5c01
14151307c56
15bb989680
hex77ed01e4

2012021220 has 96 divisors (see below), whose sum is σ = 6215045760. Its totient is φ = 482268160.

The previous prime is 2012021203. The next prime is 2012021227. The reversal of 2012021220 is 221202102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012021196 and 2012021205.

It is not an unprimeable number, because it can be changed into a prime (2012021227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41614 + ... + 75866.

It is an arithmetic number, because the mean of its divisors is an integer number (64740060).

Almost surely, 22012021220 is an apocalyptic number.

2012021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107522880).

2012021220 is an abundant number, since it is smaller than the sum of its proper divisors (4203024540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012021220 is a wasteful number, since it uses less digits than its factorization.

2012021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34365 (or 34363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012021220 is about 44855.5595216468. The cubic root of 2012021220 is about 1262.4403072126.

Adding to 2012021220 its reverse (221202102), we get a palindrome (2233223322).

The spelling of 2012021220 in words is "two billion, twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 34253 58740 68506 102759 137012 171265 205518 342530 376783 411036 513795 685060 753566 1027590 1130349 1507132 1883915 2055180 2260698 3048517 3767830 4521396 5651745 6097034 7535660 9145551 11303490 12194068 15242585 18291102 22606980 30485170 33533687 36582204 45727755 60970340 67067374 91455510 100601061 134134748 167668435 182911020 201202122 335336870 402404244 503005305 670673740 1006010610 2012021220