Search a number
-
+
203210212000 = 2553154932797
BaseRepresentation
bin1011110101000001000…
…1011100001010100000
3201102112001212100111011
42331100101130022200
511312133303241000
6233204204030304
720452511205445
oct2752021341240
9642461770434
10203210212000
11791a9959a74
1233472832394
1316216424bc3
149b9a5a79cc
1554451dd2ba
hex2f5045c2a0

203210212000 has 96 divisors (see below), whose sum is σ = 499625053200. Its totient is φ = 81229132800.

The previous prime is 203210211991. The next prime is 203210212027. The reversal of 203210212000 is 212012302.

It can be written as a sum of positive squares in 8 ways, for example, as 39583489936 + 163626722064 = 198956^2 + 404508^2 .

It is a super-2 number, since 2×2032102120002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6179602 + ... + 6212398.

Almost surely, 2203210212000 is an apocalyptic number.

203210212000 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 203210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249812526600).

203210212000 is an abundant number, since it is smaller than the sum of its proper divisors (296414841200).

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

203210212000 is a wasteful number, since it uses less digits than its factorization.

203210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34371 (or 34353 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 203210212000 its reverse (212012302), we get a palindrome (203422224302).

The spelling of 203210212000 in words is "two hundred three billion, two hundred ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1549 2000 3098 4000 6196 7745 12392 15490 24784 30980 32797 38725 49568 61960 65594 77450 123920 131188 154900 163985 193625 247840 262376 309800 327970 387250 524752 619600 655940 774500 819925 1049504 1239200 1311880 1549000 1639850 2623760 3098000 3279700 4099625 5247520 6196000 6559400 8199250 13118800 16398500 26237600 32797000 50802553 65594000 101605106 131188000 203210212 254012765 406420424 508025530 812840848 1016051060 1270063825 1625681696 2032102120 2540127650 4064204240 5080255300 6350319125 8128408480 10160510600 12700638250 20321021200 25401276500 40642042400 50802553000 101605106000 203210212000