Search a number
-
+
10003250000 = 245640013
BaseRepresentation
bin10010101000011110…
…10111101101010000
3221211010212202021202
421110033113231100
5130441313000000
64332340210332
7502614136112
oct112417275520
927733782252
1010003250000
114273634867
121b320999a8
13c35587853
146ac76b3b2
153d8300dd5
hex2543d7b50

10003250000 has 70 divisors (see below), whose sum is σ = 24226916454. Its totient is φ = 4001200000.

The previous prime is 10003249981. The next prime is 10003250011. The reversal of 10003250000 is 5230001.

10003250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 9956846656 + 46403344 = 99784^2 + 6812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 229994 + ... + 270006.

Almost surely, 210003250000 is an apocalyptic number.

10003250000 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 10003250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113458227).

10003250000 is an abundant number, since it is smaller than the sum of its proper divisors (14223666454).

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

10003250000 is an frugal number, since it uses more digits than its factorization.

10003250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40051 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

Adding to 10003250000 its reverse (5230001), we get a palindrome (10008480001).

The spelling of 10003250000 in words is "ten billion, three million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 15625 25000 31250 40013 50000 62500 80026 125000 160052 200065 250000 320104 400130 640208 800260 1000325 1600520 2000650 3201040 4001300 5001625 8002600 10003250 16005200 20006500 25008125 40013000 50016250 80026000 100032500 125040625 200065000 250081250 400130000 500162500 625203125 1000325000 1250406250 2000650000 2500812500 5001625000 10003250000