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200210222102112 = 253241136112458099
BaseRepresentation
bin101101100001011100010011…
…001010110011011001100000
3222020212220120121121100000100
4231201130103022303121200
5202220221013324231422
61545451150054422400
760112465641563505
oct5541342312633140
9866786517540010
10200210222102112
115887a7509a8122
121a5560ba361a00
1387939872c0991
1437623255614ac
151822dd9b447ac
hexb617132b3660

200210222102112 has 144 divisors (see below), whose sum is σ = 583662931815600. Its totient is φ = 65061170995200.

The previous prime is 200210222102083. The next prime is 200210222102161. The reversal of 200210222102112 is 211201222012002.

It is a happy number.

200210222102112 is a `hidden beast` number, since 20 + 0 + 210 + 2 + 221 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9841639 + ... + 22299737.

It is an arithmetic number, because the mean of its divisors is an integer number (4053214804275).

Almost surely, 2200210222102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210222102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291831465907800).

200210222102112 is an abundant number, since it is smaller than the sum of its proper divisors (383452709713488).

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

200210222102112 is a wasteful number, since it uses less digits than its factorization.

200210222102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459517 (or 12459506 counting only the distinct ones).

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

Adding to 200210222102112 its reverse (211201222012002), we get a palindrome (411411444114114).

The spelling of 200210222102112 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1361 1476 1968 2722 2952 3936 4083 5444 5904 8166 10888 11808 12249 16332 21776 24498 32664 43552 48996 55801 65328 97992 111602 130656 167403 195984 223204 334806 391968 446408 502209 669612 892816 1004418 1339224 1785632 2008836 2678448 4017672 5356896 8035344 12458099 16070688 24916198 37374297 49832396 74748594 99664792 112122891 149497188 199329584 224245782 298994376 398659168 448491564 510782059 597988752 896983128 1021564118 1195977504 1532346177 1793966256 2043128236 3064692354 3587932512 4086256472 4597038531 6129384708 8172512944 9194077062 12258769416 16345025888 16955472739 18388154124 24517538832 33910945478 36776308248 49035077664 50866418217 67821890956 73552616496 101732836434 135643781912 147105232992 152599254651 203465672868 271287563824 305198509302 406931345736 542575127648 610397018604 695174382299 813862691472 1220794037208 1390348764598 1627725382944 2085523146897 2441588074416 2780697529196 4171046293794 4883176148832 5561395058392 6256569440691 8342092587588 11122790116784 12513138881382 16684185175176 22245580233568 25026277762764 33368370350352 50052555525528 66736740700704 100105111051056 200210222102112