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212000101000212 = 223716715112639079
BaseRepresentation
bin110000001101000000011110…
…101101100110010000010100
31000210122000022112202111121110
4300031000132231212100110
5210241402201324001322
62030515300224215020
762440334063656350
oct6015003655462024
91023560275674543
10212000101000212
11616058132020a8
121b93b058a6a470
13913a6a68825b5
143a4cc06bb4460
151979920cb0c0c
hexc0d01eb66414

212000101000212 has 48 divisors (see below), whose sum is σ = 568718833858560. Its totient is φ = 60208754086752.

The previous prime is 212000101000169. The next prime is 212000101000231.

212000101000212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 7556305512 + ... + 7556333567.

It is an arithmetic number, because the mean of its divisors is an integer number (11848309038720).

Almost surely, 2212000101000212 is an apocalyptic number.

It is an amenable number.

212000101000212 is an abundant number, since it is smaller than the sum of its proper divisors (356718732858348).

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

212000101000212 is a wasteful number, since it uses less digits than its factorization.

212000101000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112639260 (or 15112639258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 21200010 and 1000212, that added together give a palindrome (22200222).

The spelling of 212000101000212 in words is "two hundred twelve trillion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 14028 15112639079 30225278158 45337917237 60450556316 90675834474 105788473553 181351668948 211576947106 317365420659 423153894212 634730841318 1269461682636 2523810726193 5047621452386 7571432178579 10095242904772 15142864357158 17666675083351 30285728714316 35333350166702 53000025250053 70666700333404 106000050500106 212000101000212