Search a number
-
+
203402404100 = 225271717092639
BaseRepresentation
bin1011110101101110111…
…0100110000100000100
3201110000110111201111002
42331123232212010010
511313032003412400
6233235231232432
720460333623330
oct2753356460404
9643013451432
10203402404100
1179298399815
1233507078718
13162471a733c
149bb7d167c0
155457003ed5
hex2f5bba6104

203402404100 has 72 divisors (see below), whose sum is σ = 534110814720. Its totient is φ = 65635729920.

The previous prime is 203402404039. The next prime is 203402404157. The reversal of 203402404100 is 1404204302.

203402404100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8534420 + ... + 8558219.

It is an arithmetic number, because the mean of its divisors is an integer number (7418205760).

Almost surely, 2203402404100 is an apocalyptic number.

203402404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203402404100 is an abundant number, since it is smaller than the sum of its proper divisors (330708410620).

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

203402404100 is a wasteful number, since it uses less digits than its factorization.

203402404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092677 (or 17092670 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203402404100 its reverse (1404204302), we get a palindrome (204806608402).

The spelling of 203402404100 in words is "two hundred three billion, four hundred two million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 17092639 34185278 68370556 85463195 119648473 170926390 239296946 290574863 341852780 427315975 478593892 581149726 598242365 854631950 1162299452 1196484730 1452874315 1709263900 2034024041 2392969460 2905748630 2991211825 4068048082 5811497260 5982423650 7264371575 8136096164 10170120205 11964847300 14528743150 20340240410 29057486300 40680480820 50850601025 101701202050 203402404100