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2200010220012 = 22311371932333951
BaseRepresentation
bin100000000000111010110…
…100111110000111101100
321210022121111100202200110
4200000322310332013230
5242021110104020022
64402400514100020
7314642206216023
oct40007264760754
97708544322613
102200010220012
11779023462480
122b6462b7a610
1312c5c9a21297
14786a40718ba
153c3622c000c
hex2003ad3e1ec

2200010220012 has 96 divisors (see below), whose sum is σ = 5781180432384. Its totient is φ = 645290496000.

The previous prime is 2200010219987. The next prime is 2200010220017. The reversal of 2200010220012 is 2100220100022.

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 2200010220012.

It is not an unprimeable number, because it can be changed into a prime (2200010220017) 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 31 ways as a sum of consecutive naturals, for example, 224364 + ... + 2109587.

It is an arithmetic number, because the mean of its divisors is an integer number (60220629504).

Almost surely, 22200010220012 is an apocalyptic number.

2200010220012 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 2200010220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890590216192).

2200010220012 is an abundant number, since it is smaller than the sum of its proper divisors (3581170212372).

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

2200010220012 is a wasteful number, since it uses less digits than its factorization.

2200010220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334199 (or 2334197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200010220012 its reverse (2100220100022), we get a palindrome (4300230320034).

The spelling of 2200010220012 in words is "two trillion, two hundred billion, ten million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 193 222 386 407 444 579 772 814 1158 1221 1628 2123 2316 2442 4246 4884 6369 7141 8492 12738 14282 21423 25476 28564 42846 78551 85692 157102 235653 314204 471306 942612 2333951 4667902 7001853 9335804 14003706 25673461 28007412 51346922 77020383 86356187 102693844 154040766 172712374 259068561 308081532 345424748 450452543 518137122 900905086 949918057 1036274244 1351357629 1801810172 1899836114 2702715258 2849754171 3799672228 4954977973 5405430516 5699508342 9909955946 11399016684 14864933919 16666744091 19819911892 29729867838 33333488182 50000232273 59459735676 66666976364 100000464546 183334185001 200000929092 366668370002 550002555003 733336740004 1100005110006 2200010220012