Search a number
-
+
10303220200 = 2352721326221
BaseRepresentation
bin10011001100001111…
…01010100111101000
3222121001022211001011
421212013222213220
5132100111021300
64422213433304
7513215632600
oct114607524750
928531284034
1010303220200
114407998919
121bb663b834
13c82774c00
146da533c00
15404805eba
hex2661ea9e8

10303220200 has 216 divisors, whose sum is σ = 30179282130. Its totient is φ = 3260275200.

The previous prime is 10303220177. The next prime is 10303220201. The reversal of 10303220200 is 202230301.

It is a happy number.

10303220200 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 9 ways, for example, as 1819704964 + 8483515236 = 42658^2 + 92106^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10303220201) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1653090 + ... + 1659310.

Almost surely, 210303220200 is an apocalyptic number.

10303220200 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 10303220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089641065).

10303220200 is an abundant number, since it is smaller than the sum of its proper divisors (19876061930).

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

10303220200 is a wasteful number, since it uses less digits than its factorization.

10303220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10303220200 its reverse (202230301), we get a palindrome (10505450501).

The spelling of 10303220200 in words is "ten billion, three hundred three million, two hundred twenty thousand, two hundred".