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10014131101 = 134995212963
BaseRepresentation
bin10010101001110001…
…11000001110011101
3221211220100120100111
421110320320032131
5131002104143401
64333405330021
7503105465332
oct112470701635
927756316314
1010014131101
114279796a07
121b35866911
13c378c7480
146adda0989
153d924ee51
hex254e3839d

10014131101 has 16 divisors (see below), whose sum is σ = 10830456000. Its totient is φ = 9204474240.

The previous prime is 10014131041. The next prime is 10014131111. The reversal of 10014131101 is 10113141001.

It is a happy number.

10014131101 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 10014131101 - 211 = 10014129053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014131111) 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, 3378246 + ... + 3381208.

It is an arithmetic number, because the mean of its divisors is an integer number (676903500).

Almost surely, 210014131101 is an apocalyptic number.

It is an amenable number.

10014131101 is a deficient number, since it is larger than the sum of its proper divisors (816324899).

10014131101 is a wasteful number, since it uses less digits than its factorization.

10014131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10014131101 its reverse (10113141001), we get a palindrome (20127272102).

The spelling of 10014131101 in words is "ten billion, fourteen million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 13 499 521 2963 6487 6773 38519 259979 1478537 1543723 3379727 19220981 20068399 770317777 10014131101