Search a number
-
+
10003000225 = 528322412
BaseRepresentation
bin10010101000011100…
…11010101110100001
3221211010102001122211
421110032122232201
5130441232001400
64332331002121
7502612045651
oct112416325641
927733361584
1010003000225
114273484139
121b31b99341
13c354cac5a
146ac704361
153d82a1dba
hex25439aba1

10003000225 has 27 divisors (see below), whose sum is σ = 12607274649. Its totient is φ = 7873180800.

The previous prime is 10003000213. The next prime is 10003000261. The reversal of 10003000225 is 52200030001.

The square root of 10003000225 is 100015.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 148864401 + 9854135824 = 12201^2 + 99268^2 .

It is not a de Polignac number, because 10003000225 - 25 = 10003000193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41506105 + ... + 41506345.

Almost surely, 210003000225 is an apocalyptic number.

10003000225 is the 100015-th square number.

10003000225 is the 50008-th centered octagonal number.

It is an amenable number.

10003000225 is a deficient number, since it is larger than the sum of its proper divisors (2604274424).

10003000225 is an frugal number, since it uses more digits than its factorization.

10003000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 10003000225 its reverse (52200030001), we get a palindrome (62203030226).

The spelling of 10003000225 in words is "ten billion, three million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 83 241 415 1205 2075 6025 6889 20003 34445 58081 100015 172225 290405 500075 1452025 1660249 4820723 8301245 24103615 41506225 120518075 400120009 2000600045 10003000225