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212201100200 = 23526765324251
BaseRepresentation
bin1100010110100000101…
…0111101001110101000
3202021201122210210110102
43011220022331032220
511434041440201300
6241252302004532
721221353406465
oct3055012751650
9667648723412
10212201100200
1181aa2a97391
1235161876748
131701a0349ab
14a3b06ca66c
1557be6ba0d5
hex31682bd3a8

212201100200 has 96 divisors (see below), whose sum is σ = 501518748960. Its totient is φ = 83482080000.

The previous prime is 212201100197. The next prime is 212201100229. The reversal of 212201100200 is 2001102212.

It is a happy 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, 8738075 + ... + 8762325.

It is an arithmetic number, because the mean of its divisors is an integer number (5224153635).

Almost surely, 2212201100200 is an apocalyptic number.

212201100200 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 212201100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250759374480).

212201100200 is an abundant number, since it is smaller than the sum of its proper divisors (289317648760).

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

212201100200 is a wasteful number, since it uses less digits than its factorization.

212201100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24987 (or 24978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212201100200 its reverse (2001102212), we get a palindrome (214202202412).

The spelling of 212201100200 in words is "two hundred twelve billion, two hundred one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 653 670 1306 1340 1675 2612 2680 3265 3350 5224 6530 6700 13060 13400 16325 24251 26120 32650 43751 48502 65300 87502 97004 121255 130600 175004 194008 218755 242510 350008 437510 485020 606275 875020 970040 1093775 1212550 1624817 1750040 2187550 2425100 3249634 4375100 4850200 6499268 8124085 8750200 12998536 15835903 16248170 31671806 32496340 40620425 63343612 64992680 79179515 81240850 126687224 158359030 162481700 316718060 324963400 395897575 633436120 791795150 1061005501 1583590300 2122011002 3167180600 4244022004 5305027505 8488044008 10610055010 21220110020 26525137525 42440220040 53050275050 106100550100 212201100200