Search a number
-
+
10320301300 = 22521031138867
BaseRepresentation
bin10011001110010001…
…10100110011110100
3222122020110121220111
421213020310303310
5132113444120200
64424023512404
7513514053661
oct114710646364
928566417814
1010320301300
1144165a5131
1220002b8704
13c8617587a
146dc8dca68
1540607c0ba
hex267234cf4

10320301300 has 72 divisors (see below), whose sum is σ = 22815164736. Its totient is φ = 4051407360.

The previous prime is 10320301297. The next prime is 10320301309. The reversal of 10320301300 is 310302301.

10320301300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320301309) 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 23 ways as a sum of consecutive naturals, for example, 1159467 + ... + 1168333.

It is an arithmetic number, because the mean of its divisors is an integer number (316877288).

Almost surely, 210320301300 is an apocalyptic number.

10320301300 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 10320301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11407582368).

10320301300 is an abundant number, since it is smaller than the sum of its proper divisors (12494863436).

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

10320301300 is a wasteful number, since it uses less digits than its factorization.

10320301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10320301300 its reverse (310302301), we get a palindrome (10630603601).

The spelling of 10320301300 in words is "ten billion, three hundred twenty million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 113 206 226 412 452 515 565 1030 1130 2060 2260 2575 2825 5150 5650 8867 10300 11300 11639 17734 23278 35468 44335 46556 58195 88670 116390 177340 221675 232780 290975 443350 581950 886700 913301 1001971 1163900 1826602 2003942 3653204 4007884 4566505 5009855 9133010 10019710 18266020 20039420 22832525 25049275 45665050 50098550 91330100 100197100 103203013 206406026 412812052 516015065 1032030130 2064060260 2580075325 5160150650 10320301300