Search a number
-
+
200111321100222 = 232717106261879181
BaseRepresentation
bin101101100000000000001100…
…001101011010111110111110
3222020112110022000220212202100
4231200000030031122332332
5202212110441200201342
61545333512151005530
760102365041126230
oct5540001415327676
9866473260825670
10200111321100222
1158841809962624
121a53aab86698a6
1387875553a0b9c
14375b62245c250
15182054c143e4c
hexb6000c35afbe

200111321100222 has 96 divisors (see below), whose sum is σ = 524667149233344. Its totient is φ = 53810880076800.

The previous prime is 200111321100217. The next prime is 200111321100247. The reversal of 200111321100222 is 222001123111002.

200111321100222 is a `hidden beast` number, since 2 + 0 + 0 + 111 + 321 + 10 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200111321100195 and 200111321100204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 227171472 + ... + 228050652.

It is an arithmetic number, because the mean of its divisors is an integer number (5465282804514).

Almost surely, 2200111321100222 is an apocalyptic number.

200111321100222 is an abundant number, since it is smaller than the sum of its proper divisors (324555828133122).

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

200111321100222 is a wasteful number, since it uses less digits than its factorization.

200111321100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985474 (or 985471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 200111321100222 its reverse (222001123111002), we get a palindrome (422112444211224).

The spelling of 200111321100222 in words is "two hundred trillion, one hundred eleven billion, three hundred twenty-one million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 106261 212522 318783 637566 743827 879181 956349 1487654 1758362 1806437 1912698 2231481 2637543 3612874 4462962 5275086 5419311 6154267 6694443 7912629 10838622 12308534 12645059 13388886 14946077 15825258 16257933 18462801 25290118 29892154 32515866 36925602 37935177 44838231 55388403 75870354 89676462 104622539 110776806 113805531 134514693 209245078 227611062 269029386 313867617 627735234 941602851 1883205702 93422652241 186845304482 280267956723 560535913446 653958565687 840803870169 1307917131374 1588185088097 1681607740338 1961875697061 3176370176194 3923751394122 4764555264291 5885627091183 9529110528582 11117295616679 11771254182366 14293665792873 22234591233358 28587331585746 33351886850037 66703773700074 100055660550111 200111321100222