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2012002112 = 26195331219
BaseRepresentation
bin111011111101100…
…1011011101000000
312012012221022000202
41313323023131000
513110033031422
6531352104332
7100600510241
oct16773133500
95165838022
102012002112
119427a4a6a
124819950a8
13260aba2c3
14151300cc8
15bb983b92
hex77ecb740

2012002112 has 56 divisors (see below), whose sum is σ = 4282135200. Its totient is φ = 935041536.

The previous prime is 2012002081. The next prime is 2012002117. The reversal of 2012002112 is 2112002102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012002093 and 2012002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012002117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48839 + ... + 80057.

It is an arithmetic number, because the mean of its divisors is an integer number (76466700).

Almost surely, 22012002112 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 2012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141067600).

2012002112 is an abundant number, since it is smaller than the sum of its proper divisors (2270133088).

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

2012002112 is a wasteful number, since it uses less digits than its factorization.

2012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31303 (or 31293 counting only the distinct ones).

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

The square root of 2012002112 is about 44855.3465263618. The cubic root of 2012002112 is about 1262.4363107694.

Adding to 2012002112 its reverse (2112002102), we get a palindrome (4124004214).

The spelling of 2012002112 in words is "two billion, twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 152 212 304 424 608 848 1007 1216 1696 2014 3392 4028 8056 16112 31219 32224 62438 64448 124876 249752 499504 593161 999008 1186322 1654607 1998016 2372644 3309214 4745288 6618428 9490576 13236856 18981152 26473712 31437533 37962304 52947424 62875066 105894848 125750132 251500264 503000528 1006001056 2012002112