Search a number
-
+
200120022202212 = 22347298032960653
BaseRepresentation
bin101101100000001000010010…
…110101011111011101100100
3222020120021202102120122210000
4231200020102311133131210
5202212231301140432322
61545341511413501300
760103123464230430
oct5540102265373544
9866507672518700
10200120022202212
1158845474462302
121a540726641830
138788310c4ab48
14375bc09ca99c0
1518208aae7d3ac
hexb60212d5f764

200120022202212 has 120 divisors (see below), whose sum is σ = 597909712385216. Its totient is φ = 57175211385792.

The previous prime is 200120022202153. The next prime is 200120022202271. The reversal of 200120022202212 is 212202220021002.

200120022202212 is a `hidden beast` number, since 20 + 0 + 1 + 200 + 2 + 220 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (200120022202153) and next prime (200120022202271).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66112878 + ... + 69073530.

Almost surely, 2200120022202212 is an apocalyptic number.

It is an amenable number.

200120022202212 is an abundant number, since it is smaller than the sum of its proper divisors (397789690183004).

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

200120022202212 is a wasteful number, since it uses less digits than its factorization.

200120022202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990479 (or 2990468 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200120022202212 its reverse (212202220021002), we get a palindrome (412322242223214).

The spelling of 200120022202212 in words is "two hundred trillion, one hundred twenty billion, twenty-two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 29803 59606 89409 119212 178818 208621 268227 357636 417242 536454 625863 804681 834484 1072908 1251726 1609362 1877589 2414043 2503452 2960653 3218724 3755178 4828086 5632767 5921306 7510356 8881959 9656172 11265534 11842612 16898301 17763918 20724571 22531068 26645877 33796602 35527836 41449142 53291754 62173713 67593204 79937631 82898284 106583508 124347426 159875262 186521139 239812893 248694852 319750524 373042278 479625786 559563417 746084556 959251572 1119126834 1678690251 2238253668 3357380502 6714761004 88236341359 176472682718 264709024077 352945365436 529418048154 617654389513 794127072231 1058836096308 1235308779026 1588254144462 1852963168539 2382381216693 2470617558052 3176508288924 3705926337078 4764762433386 5558889505617 7147143650079 7411852674156 9529524866772 11117779011234 14294287300158 16676668516851 22235558022468 28588574600316 33353337033702 50030005550553 66706674067404 100060011101106 200120022202212