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10037325233 = 132173343309
BaseRepresentation
bin10010101100100010…
…10110110110110001
3221220111222221201102
421112101112312301
5131024023401413
64335554414145
7503506566605
oct112621266661
927814887642
1010037325233
114290899011
121b41591355
13c3c658700
146b30bb505
153db2d2458
hex256456db1

10037325233 has 12 divisors (see below), whose sum is σ = 10931677020. Its totient is φ = 9211640256.

The previous prime is 10037325229. The next prime is 10037325241. The reversal of 10037325233 is 33252373001.

10037325233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 154579489 + 9882745744 = 12433^2 + 99412^2 .

It is not a de Polignac number, because 10037325233 - 22 = 10037325229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10037325196 and 10037325205.

It is not an unprimeable number, because it can be changed into a prime (10037325253) 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 11 ways as a sum of consecutive naturals, for example, 142418 + ... + 200891.

It is an arithmetic number, because the mean of its divisors is an integer number (910973085).

Almost surely, 210037325233 is an apocalyptic number.

10037325233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10037325233 is a deficient number, since it is larger than the sum of its proper divisors (894351787).

10037325233 is a wasteful number, since it uses less digits than its factorization.

10037325233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343508 (or 343495 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 29.

Adding to 10037325233 its reverse (33252373001), we get a palindrome (43289698234).

The spelling of 10037325233 in words is "ten billion, thirty-seven million, three hundred twenty-five thousand, two hundred thirty-three".

Divisors: 1 13 169 173 2249 29237 343309 4463017 58019221 59392457 772101941 10037325233