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212310012012 = 223721721239497
BaseRepresentation
bin1100010110111010101…
…0011011000001101100
3202022000020202002101020
43011232222123001230
511434302330341022
6241311152214140
721224145216600
oct3055652330154
9668006662336
10212310012012
118204951544a
123519223a350
1317036778957
14a3c0d5b500
1557c903035c
hex316ea9b06c

212310012012 has 72 divisors (see below), whose sum is σ = 610168298544. Its totient is φ = 57091765248.

The previous prime is 212310012007. The next prime is 212310012037. The reversal of 212310012012 is 210210013212.

212310012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212310011982 and 212310012000.

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 23 ways as a sum of consecutive naturals, for example, 10609753 + ... + 10629744.

It is an arithmetic number, because the mean of its divisors is an integer number (8474559702).

Almost surely, 2212310012012 is an apocalyptic number.

It is an amenable number.

212310012012 is an abundant number, since it is smaller than the sum of its proper divisors (397858286532).

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

212310012012 is a wasteful number, since it uses less digits than its factorization.

212310012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21239535 (or 21239526 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212310012012 its reverse (210210013212), we get a palindrome (422520025224).

The spelling of 212310012012 in words is "two hundred twelve billion, three hundred ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 21239497 42478994 63718491 84957988 127436982 148676479 254873964 297352958 361071449 446029437 594705916 722142898 892058874 1040735353 1083214347 1444285796 1784117748 2081470706 2166428694 2527500143 3122206059 4162941412 4332857388 5055000286 6244412118 7582500429 10110000572 12488824236 15165000858 17692501001 30330001716 35385002002 53077503003 70770004004 106155006006 212310012012