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10516306031 = 7112310975413
BaseRepresentation
bin10011100101101001…
…00001100001101111
31000010220021200211222
421302310201201233
5133014133243111
64455304533555
7521414061230
oct116264414157
930126250758
1010516306031
1145071a9410
122055a812bb
13cb79614ba
1471a961087
154183977db
hex272d2186f

10516306031 has 32 divisors (see below), whose sum is σ = 13696293888. Its totient is φ = 7829648640.

The previous prime is 10516305959. The next prime is 10516306069. The reversal of 10516306031 is 13060361501.

10516306031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10516306031 is a prime.

It is a super-2 number, since 2×105163060312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516306091) 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, 1940081 + ... + 1945493.

It is an arithmetic number, because the mean of its divisors is an integer number (428009184).

Almost surely, 210516306031 is an apocalyptic number.

10516306031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10516306031 is a deficient number, since it is larger than the sum of its proper divisors (3179987857).

10516306031 is a wasteful number, since it uses less digits than its factorization.

10516306031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 10516306031 its reverse (13060361501), we get a palindrome (23576667532).

The spelling of 10516306031 in words is "ten billion, five hundred sixteen million, three hundred six thousand, thirty-one".

Divisors: 1 7 11 23 77 161 253 1097 1771 5413 7679 12067 25231 37891 59543 84469 124499 176617 277541 416801 871493 1369489 1942787 5938061 9586423 41566427 65318671 136575403 457230697 956027821 1502329433 10516306031