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212201100012 = 223111984609689
BaseRepresentation
bin1100010110100000101…
…0111101001011101100
3202021201122210210012110
43011220022331023230
511434041440200022
6241252302004020
721221353406106
oct3055012751354
9667648723173
10212201100012
1181aa2a97230
1235161876610
131701a034895
14a3b06ca576
1557be6ba00c
hex31682bd2ec

212201100012 has 48 divisors (see below), whose sum is σ = 568577116800. Its totient is φ = 60918975360.

The previous prime is 212201100011. The next prime is 212201100071. The reversal of 212201100012 is 210001102212.

212201100012 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 not an unprimeable number, because it can be changed into a prime (212201100011) by changing a digit.

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, 42302337 + ... + 42307352.

It is an arithmetic number, because the mean of its divisors is an integer number (11845356600).

Almost surely, 2212201100012 is an apocalyptic number.

212201100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212201100012 is an abundant number, since it is smaller than the sum of its proper divisors (356376016788).

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

212201100012 is a wasteful number, since it uses less digits than its factorization.

212201100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84609726 (or 84609724 counting only the distinct ones).

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

Adding to 212201100012 its reverse (210001102212), we get a palindrome (422202202224).

It can be divided in two parts, 212201 and 100012, that added together give a palindrome (312213).

The spelling of 212201100012 in words is "two hundred twelve billion, two hundred one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 84609689 169219378 253829067 338438756 507658134 930706579 1015316268 1607584091 1861413158 2792119737 3215168182 3722826316 4822752273 5584239474 6430336364 9645504546 11168478948 17683425001 19291009092 35366850002 53050275003 70733700004 106100550006 212201100012