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2012022120 = 233520538167
BaseRepresentation
bin111011111101101…
…0000010101101000
312012012222022110210
41313323100111220
513110034201440
6531352341120
7100600622463
oct16773202550
95165868423
102012022120
11942808aa9
124819a47a0
13260ac6444
141513082da
15bb989a80
hex77ed0568

2012022120 has 64 divisors (see below), whose sum is σ = 6039745920. Its totient is φ = 536212224.

The previous prime is 2012022079. The next prime is 2012022139. The reversal of 2012022120 is 212202102.

It is a super-2 number, since 2×20120221202 = 8096466022738588800, which contains 22 as substring.

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 = 2012022096 and 2012022105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 242277 + ... + 250443.

It is an arithmetic number, because the mean of its divisors is an integer number (94371030).

Almost surely, 22012022120 is an apocalyptic number.

2012022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012022120 is an abundant number, since it is smaller than the sum of its proper divisors (4027723800).

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

2012022120 is a wasteful number, since it uses less digits than its factorization.

2012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10230 counting only the distinct ones).

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

The square root of 2012022120 is about 44855.5695538469. The cubic root of 2012022120 is about 1262.4404954473.

Adding to 2012022120 its reverse (212202102), we get a palindrome (2224224222).

The spelling of 2012022120 in words is "two billion, twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2053 4106 6159 8167 8212 10265 12318 16334 16424 20530 24501 24636 30795 32668 40835 41060 49002 49272 61590 65336 81670 82120 98004 122505 123180 163340 196008 245010 246360 326680 490020 980040 16766851 33533702 50300553 67067404 83834255 100601106 134134808 167668510 201202212 251502765 335337020 402404424 503005530 670674040 1006011060 2012022120