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200221122002112 = 26321442712409397
BaseRepresentation
bin101101100001100110011100…
…110110100111110011000000
3222020220221201020200121212100
4231201212130312213303000
5202220410324213031422
61545500151425230400
760113333024316561
oct5541463466476300
9866827636617770
10200221122002112
1158884334686342
121a558240792400
138794a0356b153
143762a7b016168
151823326a0e7ac
hexb6199cda7cc0

200221122002112 has 84 divisors (see below), whose sum is σ = 573901911290656. Its totient is φ = 66739883696640.

The previous prime is 200221122002093. The next prime is 200221122002119. The reversal of 200221122002112 is 211200221122002.

It is a happy number.

200221122002112 is a `hidden beast` number, since 20 + 0 + 2 + 211 + 220 + 0 + 211 + 2 = 666.

200221122002112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2002211220021123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200221122002119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81895398 + ... + 84304794.

Almost surely, 2200221122002112 is an apocalyptic number.

It is an amenable number.

200221122002112 is an abundant number, since it is smaller than the sum of its proper divisors (373680789288544).

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

200221122002112 is a wasteful number, since it uses less digits than its factorization.

200221122002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553686 (or 2553673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200221122002112 its reverse (211200221122002), we get a palindrome (411421343124114).

The spelling of 200221122002112 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 144271 288542 432813 577084 865626 1154168 1298439 1731252 2308336 2409397 2596878 3462504 4616672 4818794 5193756 6925008 7228191 9233344 9637588 10387512 13850016 14456382 19275176 20775024 21684573 27700032 28912764 38550352 41550048 43369146 57825528 77100704 83100096 86738292 115651056 154201408 173476584 231302112 346953168 462604224 693906336 1387812672 347606114587 695212229174 1042818343761 1390424458348 2085636687522 2780848916696 3128455031283 4171273375044 5561697833392 6256910062566 8342546750088 11123395666784 12513820125132 16685093500176 22246791333568 25027640250264 33370187000352 50055280500528 66740374000704 100110561001056 200221122002112