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2012010112 = 27717314261
BaseRepresentation
bin111011111101100…
…1101011010000000
312012012221201000001
41313323031122000
513110033310422
6531352205344
7100600542460
oct16773153200
95165851001
102012010112
119427aaa82
12481999854
13260ac0b38
14151303ba0
15bb986227
hex77ecd680

2012010112 has 128 divisors (see below), whose sum is σ = 5008020480. Its totient is φ = 785203200.

The previous prime is 2012010101. The next prime is 2012010151. The reversal of 2012010112 is 2110102102.

It is a tau number, because it is divible by the number of its divisors (128).

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, 470062 + ... + 474322.

It is an arithmetic number, because the mean of its divisors is an integer number (39125160).

Almost surely, 22012010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504010240).

2012010112 is an abundant number, since it is smaller than the sum of its proper divisors (2996010368).

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

2012010112 is a wasteful number, since it uses less digits than its factorization.

2012010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2012010112 is about 44855.4357018188. The cubic root of 2012010112 is about 1262.4379839746.

Adding to 2012010112 its reverse (2110102102), we get a palindrome (4122112214).

The spelling of 2012010112 in words is "two billion, twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 272 434 448 476 496 527 544 868 896 952 992 1054 1088 1736 1904 1984 2108 2176 3472 3689 3808 3968 4216 4261 6944 7378 7616 8432 8522 13888 14756 15232 16864 17044 27776 29512 29827 33728 34088 59024 59654 67456 68176 72437 118048 119308 132091 136352 144874 236096 238616 264182 272704 289748 472192 477232 507059 528364 545408 579496 924637 954464 1014118 1056728 1158992 1849274 1908928 2028236 2113456 2245547 2317984 3698548 3817856 4056472 4226912 4491094 4635968 7397096 8112944 8453824 8982188 9271936 14794192 15718829 16225888 16907648 17964376 29588384 31437658 32451776 35928752 59176768 62875316 64903552 71857504 118353536 125750632 143715008 251501264 287430016 503002528 1006005056 2012010112