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10580141375 = 531011396029
BaseRepresentation
bin10011101101010000…
…00010010100111111
31000022100101212110222
421312220002110333
5133132004011000
64505505051555
7523120501136
oct116650022477
930270355428
1010580141375
11453a2398a1
122073326bbb
13cc7c520ab
1472521a91d
1541dca6a85
hex276a0253f

10580141375 has 32 divisors (see below), whose sum is σ = 13432910400. Its totient is φ = 8318640000.

The previous prime is 10580141371. The next prime is 10580141399. The reversal of 10580141375 is 57314108501.

10580141375 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 10580141375 - 22 = 10580141371 is a prime.

It is a super-2 number, since 2×105801413752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580141371) 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, 1751861 + ... + 1757889.

It is an arithmetic number, because the mean of its divisors is an integer number (419778450).

Almost surely, 210580141375 is an apocalyptic number.

10580141375 is a deficient number, since it is larger than the sum of its proper divisors (2852769025).

10580141375 is a wasteful number, since it uses less digits than its factorization.

10580141375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

Adding to 10580141375 its reverse (57314108501), we get a palindrome (67894249876).

The spelling of 10580141375 in words is "ten billion, five hundred eighty million, one hundred forty-one thousand, three hundred seventy-five".

Divisors: 1 5 25 101 125 139 505 695 2525 3475 6029 12625 14039 17375 30145 70195 150725 350975 608929 753625 838031 1754875 3044645 4190155 15223225 20950775 76116125 84641131 104753875 423205655 2116028275 10580141375