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2202200012012 = 22721113599131171
BaseRepresentation
bin100000000010111101010…
…110010111010011101100
321210112021002211201120212
4200002331112113103230
5242040101200341022
64403402101001552
7315050366151200
oct40027526272354
97715232751525
102202200012012
11779a4754a630
122b69743b32b8
1312c8885ba4b0
1478830c12b00
153c43e6723e2
hex200bd5974ec

2202200012012 has 144 divisors (see below), whose sum is σ = 5275632902400. Its totient is φ = 790671772800.

The previous prime is 2202200011993. The next prime is 2202200012041. The reversal of 2202200012012 is 2102100022022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16723187 + ... + 16854357.

It is an arithmetic number, because the mean of its divisors is an integer number (36636339600).

Almost surely, 22202200012012 is an apocalyptic number.

2202200012012 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 2202200012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637816451200).

2202200012012 is an abundant number, since it is smaller than the sum of its proper divisors (3073432890388).

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

2202200012012 is a wasteful number, since it uses less digits than its factorization.

2202200012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131812 (or 131803 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202200012012 its reverse (2102100022022), we get a palindrome (4304300034034).

The spelling of 2202200012012 in words is "two trillion, two hundred two billion, two hundred million, twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 599 637 1001 1078 1198 1274 2002 2156 2396 2548 4004 4193 6589 7007 7787 8386 13178 14014 15574 16772 26356 28028 29351 31148 46123 54509 58702 85657 92246 109018 117404 131171 171314 184492 218036 262342 322861 342628 381563 524684 599599 645722 763126 918197 1199198 1291444 1442881 1526252 1705223 1836394 2398396 2885762 3410446 3672788 4197193 5771524 6427379 6820892 8394386 10100167 11936561 12854758 16788772 18757453 20200334 23873122 25709516 37514906 40400668 47746244 70701169 75029812 78571429 83555927 131302171 141402338 157142858 167111854 262604342 282804676 314285716 334223708 525208684 550000003 864285719 919115197 1021428577 1100000006 1728571438 1838230394 2042857154 2200000012 3457142876 3676460788 3850000021 4085714308 6050000033 7150000039 7700000042 11235714347 12100000066 14300000078 15400000084 22471428694 24200000132 28600000156 42350000231 44942857388 50050000273 78650000429 84700000462 100100000546 157300000858 169400000924 200200001092 314600001716 550550003003 1101100006006 2202200012012