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201201210012 = 223116183301057
BaseRepresentation
bin1011101101100010000…
…1101101001010011100
3201020100001120110212010
42323120201231022130
511244030002210022
6232233000111220
720351645032005
oct2733041551234
9636301513763
10201201210012
1178368924050
1232bb1a65510
1315c8614832a
149a498481ac
155378b4d50c
hex2ed886d29c

201201210012 has 96 divisors (see below), whose sum is σ = 526817781504. Its totient is φ = 59247820800.

The previous prime is 201201209999. The next prime is 201201210037. The reversal of 201201210012 is 210012102102.

201201210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201201210012.

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 31 ways as a sum of consecutive naturals, for example, 517788 + ... + 818844.

It is an arithmetic number, because the mean of its divisors is an integer number (5487685224).

Almost surely, 2201201210012 is an apocalyptic number.

201201210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201201210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263408890752).

201201210012 is an abundant number, since it is smaller than the sum of its proper divisors (325616571492).

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

201201210012 is a wasteful number, since it uses less digits than its factorization.

201201210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301219 (or 301217 counting only the distinct ones).

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

Adding to 201201210012 its reverse (210012102102), we get a palindrome (411213312114).

The spelling of 201201210012 in words is "two hundred one billion, two hundred one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 83 122 132 166 183 244 249 332 366 498 671 732 913 996 1342 1826 2013 2684 2739 3652 4026 5063 5478 8052 10126 10956 15189 20252 30378 55693 60756 111386 167079 222772 301057 334158 602114 668316 903171 1204228 1806342 3311627 3612684 6623254 9934881 13246508 18364477 19869762 24987731 36728954 39739524 49975462 55093431 73457908 74963193 99950924 110186862 149926386 202009247 220373724 274865041 299852772 404018494 549730082 606027741 808036988 824595123 1099460164 1212055482 1524251591 1649190246 2424110964 3048503182 3298380492 4572754773 6097006364 9145509546 16766767501 18291019092 33533535002 50300302503 67067070004 100600605006 201201210012