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10304310441 = 331893114003
BaseRepresentation
bin10011001100010111…
…10100110010101001
3222121010101012120110
421212023310302221
5132100400413231
64422253044533
7513231123255
oct114613646251
928533335513
1010304310441
114408572a47
121bb6a86749
13c82a67219
146da739265
1540496e046
hex2662f4ca9

10304310441 has 32 divisors (see below), whose sum is σ = 14391336960. Its totient is φ = 6550473600.

The previous prime is 10304310437. The next prime is 10304310463. The reversal of 10304310441 is 14401340301.

10304310441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10304310441 - 22 = 10304310437 is a prime.

It is a super-2 number, since 2×103043104412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10304312441) 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 31 ways as a sum of consecutive naturals, for example, 2572146 + ... + 2576148.

It is an arithmetic number, because the mean of its divisors is an integer number (449729280).

Almost surely, 210304310441 is an apocalyptic number.

It is an amenable number.

10304310441 is a deficient number, since it is larger than the sum of its proper divisors (4087026519).

10304310441 is a wasteful number, since it uses less digits than its factorization.

10304310441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10304310441 its reverse (14401340301), we get a palindrome (24705650742).

The spelling of 10304310441 in words is "ten billion, three hundred four million, three hundred ten thousand, four hundred forty-one".

Divisors: 1 3 31 89 93 267 311 933 2759 4003 8277 9641 12009 27679 28923 83037 124093 356267 372279 858049 1068801 1244933 2574147 3734799 11044277 33132831 38592923 110799037 115778769 332397111 3434770147 10304310441