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200214100201120 = 25513936724529789
BaseRepresentation
bin101101100001011111111010…
…010100100100111010100000
3222020220021120212221011201221
4231201133322110210322200
5202220301434122413440
61545453030551504424
760112664022100555
oct5541377224447240
9866807525834657
10200214100201120
1158881360aa1325
121a556a01088114
1387941548a1115
1437625b2622a2c
15182306533ad4a
hexb617fa524ea0

200214100201120 has 96 divisors (see below), whose sum is σ = 477706867142400. Its totient is φ = 79292834067456.

The previous prime is 200214100201117. The next prime is 200214100201163. The reversal of 200214100201120 is 21102001412002.

200214100201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 200214100201094 and 200214100201103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4102815 + ... + 20426974.

It is an arithmetic number, because the mean of its divisors is an integer number (4976113199400).

Almost surely, 2200214100201120 is an apocalyptic number.

200214100201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200214100201120 is an abundant number, since it is smaller than the sum of its proper divisors (277492766941280).

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

200214100201120 is a wasteful number, since it uses less digits than its factorization.

200214100201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24530310 (or 24530302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200214100201120 its reverse (21102001412002), we get a palindrome (221316101613122).

The spelling of 200214100201120 in words is "two hundred trillion, two hundred fourteen billion, one hundred million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 367 556 695 734 1112 1390 1468 1835 2224 2780 2936 3670 4448 5560 5872 7340 11120 11744 14680 22240 29360 51013 58720 102026 204052 255065 408104 510130 816208 1020260 1632416 2040520 4081040 8162080 24529789 49059578 98119156 122648945 196238312 245297890 392476624 490595780 784953248 981191560 1962383120 3409640671 3924766240 6819281342 9002432563 13638562684 17048203355 18004865126 27277125368 34096406710 36009730252 45012162815 54554250736 68192813420 72019460504 90024325630 109108501472 136385626840 144038921008 180048651260 272771253680 288077842016 360097302520 545542507360 720194605040 1251338126257 1440389210080 2502676252514 5005352505028 6256690631285 10010705010056 12513381262570 20021410020112 25026762525140 40042820040224 50053525050280 100107050100560 200214100201120