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200112222211100 = 2252139109871310327
BaseRepresentation
bin101101100000000001000001…
…111010111000110000011100
3222020112112121211112001111022
4231200001001322320300130
5202212114312341223400
61545334141420543312
760102426262342523
oct5540010172706034
9866475554461438
10200112222211100
1158842131583561
121a53b10a3b1b38
138787669c960a4
14375b6a9dc74ba
1518205a12deb85
hexb60041eb8c1c

200112222211100 has 72 divisors (see below), whose sum is σ = 437407717864320. Its totient is φ = 79461732726720.

The previous prime is 200112222211073. The next prime is 200112222211117. The reversal of 200112222211100 is 1112222211002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152064137 + ... + 153374463.

It is an arithmetic number, because the mean of its divisors is an integer number (6075107192560).

Almost surely, 2200112222211100 is an apocalyptic number.

200112222211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112222211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218703858932160).

200112222211100 is an abundant number, since it is smaller than the sum of its proper divisors (237295495653220).

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

200112222211100 is a wasteful number, since it uses less digits than its factorization.

200112222211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321467 (or 1321460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200112222211100 its reverse (1112222211002), we get a palindrome (201224444422102).

The spelling of 200112222211100 in words is "two hundred trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 10987 13900 21974 43948 54935 109870 219740 274675 549350 1098700 1310327 1527193 2620654 3054386 5241308 6108772 6551635 7635965 13103270 15271930 26206540 30543860 32758175 38179825 65516350 76359650 131032700 152719300 182135453 364270906 728541812 910677265 1821354530 3642709060 4553386325 9106772650 14396562749 18213545300 28793125498 57586250996 71982813745 143965627490 287931254980 359914068725 719828137450 1439656274900 2001122222111 4002244444222 8004488888444 10005611110555 20011222221110 40022444442220 50028055552775 100056111105550 200112222211100