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2200111212112 = 24115325723571
BaseRepresentation
bin100000000001000000110…
…110001110011001010000
321210022212112101200210121
4200001000312032121100
5242021311432241422
64402414522440024
7314644543512442
oct40010066163120
97708775350717
102200111212112
11779075471320
122b6490963014
1312c614921518
14786b3640492
153c36b0bd8c7
hex20040d8e650

2200111212112 has 120 divisors (see below), whose sum is σ = 4757814757152. Its totient is φ = 977090150400.

The previous prime is 2200111212053. The next prime is 2200111212119. The reversal of 2200111212112 is 2112121110022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200111212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616103287 + ... + 616106857.

Almost surely, 22200111212112 is an apocalyptic number.

2200111212112 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 2200111212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378907378576).

2200111212112 is an abundant number, since it is smaller than the sum of its proper divisors (2557703545040).

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

2200111212112 is a wasteful number, since it uses less digits than its factorization.

2200111212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2200111212112 its reverse (2112121110022), we get a palindrome (4312232322134).

The spelling of 2200111212112 in words is "two trillion, two hundred billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 257 424 514 583 848 1028 1166 2056 2332 2827 3571 4112 4664 5654 7142 9328 11308 13621 14284 22616 27242 28568 39281 45232 54484 57136 66049 78562 108968 132098 149831 157124 189263 217936 264196 299662 314248 378526 528392 599324 628496 726539 757052 917747 1056784 1198648 1453078 1514104 1835494 2081893 2397296 2906156 3028208 3500597 3670988 4163786 5812312 7001194 7341976 8327572 10095217 11624624 14002388 14683952 16655144 20190434 28004776 33310288 38506567 40380868 48640591 56009552 77013134 80761736 97281182 154026268 161523472 194562364 235860979 308052536 389124728 471721958 535046501 616105072 778249456 943443916 1070093002 1886887832 2140186004 2594470769 3773775664 4280372008 5188941538 8560744016 10377883076 12500631887 20755766152 25001263774 41511532304 50002527548 100005055096 137506950757 200010110192 275013901514 550027803028 1100055606056 2200111212112