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213311112200 = 23528364719861
BaseRepresentation
bin1100011010101001010…
…1010100010000001000
3202101121000111020122222
43012222111110100020
511443330121042300
6241554353233212
721261022352204
oct3065225242010
9671530436588
10213311112200
118251261a87a
1235411562808
1317165cac824
14a477cb3b04
155836d7c785
hex31aa554408

213311112200 has 96 divisors (see below), whose sum is σ = 502724698560. Its totient is φ = 84161913600.

The previous prime is 213311112193. The next prime is 213311112233. The reversal of 213311112200 is 2211113312.

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, 10730270 + ... + 10750130.

It is an arithmetic number, because the mean of its divisors is an integer number (5236715610).

Almost surely, 2213311112200 is an apocalyptic number.

213311112200 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 213311112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251362349280).

213311112200 is an abundant number, since it is smaller than the sum of its proper divisors (289413586360).

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

213311112200 is a wasteful number, since it uses less digits than its factorization.

213311112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20607 (or 20598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213311112200 its reverse (2211113312), we get a palindrome (215522225512).

The spelling of 213311112200 in words is "two hundred thirteen billion, three hundred eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 647 664 830 1294 1660 2075 2588 3235 3320 4150 5176 6470 8300 12940 16175 16600 19861 25880 32350 39722 53701 64700 79444 99305 107402 129400 158888 198610 214804 268505 397220 429608 496525 537010 794440 993050 1074020 1342525 1648463 1986100 2148040 2685050 3296926 3972200 5370100 6593852 8242315 10740200 12850067 13187704 16484630 25700134 32969260 41211575 51400268 64250335 65938520 82423150 102800536 128500670 164846300 257001340 321251675 329692600 514002680 642503350 1066555561 1285006700 2133111122 2570013400 4266222244 5332777805 8532444488 10665555610 21331111220 26663889025 42662222440 53327778050 106655556100 213311112200