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10506103634 = 213404080909
BaseRepresentation
bin10011100100011011…
…00110101101010010
31000010012002100210102
421302031212231102
5133004030304014
64454302132402
7521231256515
oct116215465522
930105070712
1010506103634
114501470184
122052581102
13cb57cb790
14719466d7c
1541752e8de
hex272366b52

10506103634 has 8 divisors (see below), whose sum is σ = 16971398220. Its totient is φ = 4848970896.

The previous prime is 10506103633. The next prime is 10506103667. The reversal of 10506103634 is 43630160501.

It is a happy number.

10506103634 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 2 ways, for example, as 8253177409 + 2252926225 = 90847^2 + 47465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105061036342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506103597 and 10506103606.

It is not an unprimeable number, because it can be changed into a prime (10506103633) 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 3 ways as a sum of consecutive naturals, for example, 202040429 + ... + 202040480.

Almost surely, 210506103634 is an apocalyptic number.

10506103634 is a deficient number, since it is larger than the sum of its proper divisors (6465294586).

10506103634 is a wasteful number, since it uses less digits than its factorization.

10506103634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404080924.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 10506103634 in words is "ten billion, five hundred six million, one hundred three thousand, six hundred thirty-four".

Divisors: 1 2 13 26 404080909 808161818 5253051817 10506103634