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10500126345 = 325233336141
BaseRepresentation
bin10011100011101101…
…10011011010001001
31000002202211200111100
421301312303122021
5133001013020340
64453530052013
7521126413152
oct116166633211
930082750440
1010500126345
1144a9058375
12205057a009
13cb44b7c17
1471874c929
15416c4d830
hex271db3689

10500126345 has 12 divisors (see below), whose sum is σ = 18200219076. Its totient is φ = 5600067360.

The previous prime is 10500126341. The next prime is 10500126353. The reversal of 10500126345 is 54362100501.

10500126345 is a `hidden beast` number, since 1 + 0 + 500 + 126 + 34 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2322179721 + 8177946624 = 48189^2 + 90432^2 .

It is not a de Polignac number, because 10500126345 - 22 = 10500126341 is a prime.

It is a super-2 number, since 2×105001263452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500126341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116668026 + ... + 116668115.

It is an arithmetic number, because the mean of its divisors is an integer number (1516684923).

Almost surely, 210500126345 is an apocalyptic number.

10500126345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500126345 is a deficient number, since it is larger than the sum of its proper divisors (7700092731).

10500126345 is a wasteful number, since it uses less digits than its factorization.

10500126345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233336152 (or 233336149 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10500126345 its reverse (54362100501), we get a palindrome (64862226846).

The spelling of 10500126345 in words is "ten billion, five hundred million, one hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 233336141 700008423 1166680705 2100025269 3500042115 10500126345