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10303321320 = 23325416531069
BaseRepresentation
bin10011001100010000…
…00011010011101000
3222121001111221202100
421212020003103220
5132100122240240
64422215533400
7513216533445
oct114610032350
928531457670
1010303321320
114407a57896
121bb668a260
13c827abc46
146da55c9cc
15404825e30
hex2662034e8

10303321320 has 192 divisors, whose sum is σ = 34387189200. Its totient is φ = 2673930240.

The previous prime is 10303321313. The next prime is 10303321321. The reversal of 10303321320 is 2312330301.

10303321320 is a `hidden beast` number, since 10 + 3 + 0 + 332 + 1 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 760766724 + 9542554596 = 27582^2 + 97686^2 .

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 = 10303321293 and 10303321302.

It is not an unprimeable number, because it can be changed into a prime (10303321321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9637746 + ... + 9638814.

Almost surely, 210303321320 is an apocalyptic number.

10303321320 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 10303321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193594600).

10303321320 is an abundant number, since it is smaller than the sum of its proper divisors (24083867880).

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

10303321320 is a wasteful number, since it uses less digits than its factorization.

10303321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10303321320 its reverse (2312330301), we get a palindrome (12615651621).

The spelling of 10303321320 in words is "ten billion, three hundred three million, three hundred twenty-one thousand, three hundred twenty".