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10066133077 = 7111322943913
BaseRepresentation
bin10010101111111110…
…10000000001010101
3221222112012112122121
421113333100001111
5131103412224302
64342504055541
7504306501520
oct112777200125
927875175577
1010066133077
1142a6084850
121b4b1645b1
13c45603b80
146b6c59bb7
153ddac2e37
hex257fd0055

10066133077 has 32 divisors (see below), whose sum is σ = 13574695680. Its totient is φ = 7208593920.

The previous prime is 10066133053. The next prime is 10066133089. The reversal of 10066133077 is 77033166001.

It is a happy number.

10066133077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10066133077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066134077) 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, 207273 + ... + 251185.

It is an arithmetic number, because the mean of its divisors is an integer number (424209240).

Almost surely, 210066133077 is an apocalyptic number.

It is an amenable number.

10066133077 is a deficient number, since it is larger than the sum of its proper divisors (3508562603).

10066133077 is a wasteful number, since it uses less digits than its factorization.

10066133077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44173.

The product of its (nonzero) digits is 15876, while the sum is 34.

Adding to 10066133077 its reverse (77033166001), we get a palindrome (87099299078).

The spelling of 10066133077 in words is "ten billion, sixty-six million, one hundred thirty-three thousand, seventy-seven".

Divisors: 1 7 11 13 77 91 143 229 1001 1603 2519 2977 17633 20839 32747 43913 229229 307391 483043 570869 3381301 3996083 6279559 10056077 43956913 70392539 110616847 130729001 774317929 915103007 1438019011 10066133077