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10304141031 = 331738035903
BaseRepresentation
bin10011001100010110…
…01011011011100111
3222121010001121012000
421212023023123213
5132100330003111
64422245300343
7513226516332
oct114613133347
928533047160
1010304141031
114408467738
121bb6a046b3
13c82a08092
146da6d3619
15404938c56
hex2662cb6e7

10304141031 has 32 divisors (see below), whose sum is σ = 16170347520. Its totient is φ = 6462548352.

The previous prime is 10304141027. The next prime is 10304141051. The reversal of 10304141031 is 13014140301.

It is not a de Polignac number, because 10304141031 - 22 = 10304141027 is a prime.

It is a super-2 number, since 2×103041410312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10304140995 and 10304141013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304141051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1742626 + ... + 1748528.

It is an arithmetic number, because the mean of its divisors is an integer number (505323360).

Almost surely, 210304141031 is an apocalyptic number.

10304141031 is a deficient number, since it is larger than the sum of its proper divisors (5866206489).

10304141031 is a wasteful number, since it uses less digits than its factorization.

10304141031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10304141031 its reverse (13014140301), we get a palindrome (23318281332).

The spelling of 10304141031 in words is "ten billion, three hundred four million, one hundred forty-one thousand, thirty-one".

Divisors: 1 3 9 17 27 51 153 459 3803 5903 11409 17709 34227 53127 64651 100351 102681 159381 193953 301053 581859 903159 1745577 2709477 22449109 67347327 202041981 381634853 606125943 1144904559 3434713677 10304141031