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10506061011 = 347607122753
BaseRepresentation
bin10011100100011010…
…11100010011010011
31000010012000012022210
421302031130103103
5133004022423021
64454301203203
7521231021325
oct116215342323
930105005283
1010506061011
114501441156
122052560503
13cb57b5264
14719455615
15417521e76
hex27235c4d3

10506061011 has 16 divisors (see below), whose sum is σ = 14329810944. Its totient is φ = 6843669504.

The previous prime is 10506060991. The next prime is 10506061037. The reversal of 10506061011 is 11016060501.

10506061011 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 10506061011 - 26 = 10506060947 is a prime.

It is a super-2 number, since 2×105060610112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506061211) 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 15 ways as a sum of consecutive naturals, for example, 24211 + ... + 146963.

It is an arithmetic number, because the mean of its divisors is an integer number (895613184).

Almost surely, 210506061011 is an apocalyptic number.

10506061011 is a deficient number, since it is larger than the sum of its proper divisors (3823749933).

10506061011 is a wasteful number, since it uses less digits than its factorization.

10506061011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123410.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10506061011 in words is "ten billion, five hundred six million, sixty-one thousand, eleven".

Divisors: 1 3 47 141 607 1821 28529 85587 122753 368259 5769391 17308173 74511071 223533213 3502020337 10506061011