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2132210100200 = 235243463535489
BaseRepresentation
bin11111000001110001101…
…000000010011111101000
321112211121101110211002212
4133001301220002133220
5234413231241201300
64311305050144252
7310022103546155
oct37016150023750
97484541424085
102132210100200
117522a1018a04
122a52a0a22088
131260b32958ab
14752b16a522c
153a6e4da5935
hex1f071a027e8

2132210100200 has 96 divisors (see below), whose sum is σ = 5083642185600. Its totient is φ = 831248732160.

The previous prime is 2132210100173. The next prime is 2132210100221. The reversal of 2132210100200 is 20010122312.

It is a happy number.

It is a super-2 number, since 2×21322101002002 (a number of 25 digits) contains 22 as substring.

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, 3714056 + ... + 4249544.

It is an arithmetic number, because the mean of its divisors is an integer number (52954606100).

Almost surely, 22132210100200 is an apocalyptic number.

2132210100200 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 2132210100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541821092800).

2132210100200 is an abundant number, since it is smaller than the sum of its proper divisors (2951432085400).

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

2132210100200 is a wasteful number, since it uses less digits than its factorization.

2132210100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536011 (or 536002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2132210100200 its reverse (20010122312), we get a palindrome (2152220222512).

The spelling of 2132210100200 in words is "two trillion, one hundred thirty-two billion, two hundred ten million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 463 860 926 1075 1720 1852 2150 2315 3704 4300 4630 8600 9260 11575 18520 19909 23150 39818 46300 79636 92600 99545 159272 199090 398180 497725 535489 796360 995450 1070978 1990900 2141956 2677445 3981800 4283912 5354890 10709780 13387225 21419560 23026027 26774450 46052054 53548900 92104108 107097800 115130135 184208216 230260270 247931407 460520540 495862814 575650675 921041080 991725628 1151301350 1239657035 1983451256 2302602700 2479314070 4605205400 4958628140 6198285175 9917256280 10661050501 12396570350 21322101002 24793140700 42644202004 49586281400 53305252505 85288404008 106610505010 213221010020 266526262525 426442020040 533052525050 1066105050100 2132210100200