Search a number
-
+
10303200000 = 28355553
BaseRepresentation
bin10011001100001111…
…00101101100000000
3222121001021210100000
421212013211230000
5132100104400000
64422213200000
7513215516652
oct114607455400
928531253300
1010303200000
114407984725
121bb6630000
13c82768962
146da52a6d2
15404800000
hex2661e5b00

10303200000 has 648 divisors, whose sum is σ = 39232707696. Its totient is φ = 2695680000.

The previous prime is 10303199971. The next prime is 10303200007. The reversal of 10303200000 is 230301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10303200007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194399974 + ... + 194400026.

It is an arithmetic number, because the mean of its divisors is an integer number (60544302).

Almost surely, 210303200000 is an apocalyptic number.

10303200000 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 10303200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616353848).

10303200000 is an abundant number, since it is smaller than the sum of its proper divisors (28929507696).

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

10303200000 is an frugal number, since it uses more digits than its factorization.

10303200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10303200000 its reverse (230301), we get a palindrome (10303430301).

The spelling of 10303200000 in words is "ten billion, three hundred three million, two hundred thousand".