Search a number
-
+
10033412200 = 2352715594597
BaseRepresentation
bin10010101100000100…
…11011100001101000
3221220020122011001021
421112002123201220
5131022023142300
64335334502224
7503431411420
oct112602334150
927806564037
1010033412200
1142896660a9
121b40204974
13c3b8b85c6
146b277d480
153dacacd1a
hex25609b868

10033412200 has 96 divisors (see below), whose sum is σ = 26683113600. Its totient is φ = 3437072640.

The previous prime is 10033412161. The next prime is 10033412227. The reversal of 10033412200 is 221433001.

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, 2180302 + ... + 2184898.

It is an arithmetic number, because the mean of its divisors is an integer number (277949100).

Almost surely, 210033412200 is an apocalyptic number.

10033412200 is a gapful number since it is divisible by the number (10) 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 10033412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341556800).

10033412200 is an abundant number, since it is smaller than the sum of its proper divisors (16649701400).

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

10033412200 is a wasteful number, since it uses less digits than its factorization.

10033412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10033412200 its reverse (221433001), we get a palindrome (10254845201).

The spelling of 10033412200 in words is "ten billion, thirty-three million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1559 3118 4597 6236 7795 9194 10913 12472 15590 18388 21826 22985 31180 32179 36776 38975 43652 45970 54565 62360 64358 77950 87304 91940 109130 114925 128716 155900 160895 183880 218260 229850 257432 272825 311800 321790 436520 459700 545650 643580 804475 919400 1091300 1287160 1608950 2182600 3217900 6435800 7166723 14333446 28666892 35833615 50167061 57333784 71667230 100334122 143334460 179168075 200668244 250835305 286668920 358336150 401336488 501670610 716672300 1003341220 1254176525 1433344600 2006682440 2508353050 5016706100 10033412200