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10320333030 = 23257199263313
BaseRepresentation
bin10011001110010001…
…11100100011100110
3222122020112020102200
421213020330203212
5132114001124110
64424024315330
7513514245330
oct114710744346
928566466380
1010320333030
114416616a57
122000312b46
13c86187147
146dc90a450
154060866c0
hex26723c8e6

10320333030 has 192 divisors, whose sum is σ = 31036262400. Its totient is φ = 2330684928.

The previous prime is 10320333029. The next prime is 10320333083. The reversal of 10320333030 is 3033302301.

10320333030 is a `hidden beast` number, since 10 + 320 + 3 + 330 + 3 + 0 = 666.

10320333030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10320332994 and 10320333012.

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 95 ways as a sum of consecutive naturals, for example, 32972154 + ... + 32972466.

It is an arithmetic number, because the mean of its divisors is an integer number (161647200).

Almost surely, 210320333030 is an apocalyptic number.

10320333030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518131200).

10320333030 is an abundant number, since it is smaller than the sum of its proper divisors (20715929370).

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

10320333030 is a wasteful number, since it uses less digits than its factorization.

10320333030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 10320333030 its reverse (3033302301), we get a palindrome (13353635331).

The spelling of 10320333030 in words is "ten billion, three hundred twenty million, three hundred thirty-three thousand, thirty".