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2002112000212 = 222774079442991
BaseRepresentation
bin11101001000100111001…
…011001011000011010100
321002101210121221120121011
4131020213023023003110
5230300311133001322
64131431344302004
7264435126132052
oct35104713130324
97071717846534
102002112000212
11702100035905
12284033311904
13116a4bc9433c
146cc8d1811d2
153712d615677
hex1d2272cb0d4

2002112000212 has 24 divisors (see below), whose sum is σ = 3517214722560. Its totient is φ = 997195297440.

The previous prime is 2002112000167. The next prime is 2002112000243. The reversal of 2002112000212 is 2120002112002.

It is a happy number.

It is a super-2 number, since 2×20021120002122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002112000192 and 2002112000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4298037 + ... + 4741027.

It is an arithmetic number, because the mean of its divisors is an integer number (146550613440).

Almost surely, 22002112000212 is an apocalyptic number.

It is an amenable number.

2002112000212 is a deficient number, since it is larger than the sum of its proper divisors (1515102722348).

2002112000212 is a wasteful number, since it uses less digits than its factorization.

2002112000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447351 (or 447349 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002112000212 its reverse (2120002112002), we get a palindrome (4122114112214).

The spelling of 2002112000212 in words is "two trillion, two billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 277 554 1108 4079 8158 16316 442991 885982 1129883 1771964 2259766 4519532 122708507 245417014 490834028 1806960289 3613920578 7227841156 500528000053 1001056000106 2002112000212