Search a number
-
+
10003200100 = 2252997100333
BaseRepresentation
bin10010101000011110…
…01011100001100100
3221211010210012211121
421110033023201210
5130441304400400
64332335143324
7502613540455
oct112417134144
927733705747
1010003200100
114273600323
121b32074b44
13c3556ac1a
146ac75712c
153d82e121a
hex2543cb864

10003200100 has 36 divisors (see below), whose sum is σ = 21728933044. Its totient is φ = 3997226880.

The previous prime is 10003200091. The next prime is 10003200101. The reversal of 10003200100 is 100230001.

It can be written as a sum of positive squares in 6 ways, for example, as 408605796 + 9594594304 = 20214^2 + 97952^2 .

It is not an unprimeable number, because it can be changed into a prime (10003200101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49534 + ... + 149866.

Almost surely, 210003200100 is an apocalyptic number.

10003200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003200100 is an abundant number, since it is smaller than the sum of its proper divisors (11725732944).

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

10003200100 is a wasteful number, since it uses less digits than its factorization.

10003200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101344 (or 101337 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10003200100 its reverse (100230001), we get a palindrome (10103430101).

The spelling of 10003200100 in words is "ten billion, three million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 997 1994 3988 4985 9970 19940 24925 49850 99700 100333 200666 401332 501665 1003330 2006660 2508325 5016650 10033300 100032001 200064002 400128004 500160005 1000320010 2000640020 2500800025 5001600050 10003200100