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2012021120 = 2754766889
BaseRepresentation
bin111011111101101…
…0000000110000000
312012012222021002202
41313323100012000
513110034133440
6531352332332
7100600616534
oct16773200600
95165867082
102012021120
1194280827a
124819a40a8
13260ac5b55
14151307bc4
15bb989615
hex77ed0180

2012021120 has 64 divisors (see below), whose sum is σ = 4912401600. Its totient is φ = 787673088.

The previous prime is 2012021069. The next prime is 2012021147. The reversal of 2012021120 is 211202102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3365 + ... + 63524.

It is an arithmetic number, because the mean of its divisors is an integer number (76756275).

Almost surely, 22012021120 is an apocalyptic number.

2012021120 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 2012021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456200800).

2012021120 is an abundant number, since it is smaller than the sum of its proper divisors (2900380480).

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

2012021120 is an equidigital number, since it uses as much as digits as its factorization.

2012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66955 (or 66943 counting only the distinct ones).

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

The square root of 2012021120 is about 44855.5584069578. The cubic root of 2012021120 is about 1262.4402862977.

Adding to 2012021120 its reverse (211202102), we get a palindrome (2223223222).

The spelling of 2012021120 in words is "two billion, twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 7520 15040 30080 66889 133778 267556 334445 535112 668890 1070224 1337780 2140448 2675560 3143783 4280896 5351120 6287566 8561792 10702240 12575132 15718915 21404480 25150264 31437830 42808960 50300528 62875660 100601056 125751320 201202112 251502640 402404224 503005280 1006010560 2012021120