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10011110001 = 3101283313373
BaseRepresentation
bin10010101001011010…
…10110101001110001
3221211200200002011220
421110231112221301
5131000321010001
64333220455253
7503041013424
oct112455265161
927750602156
1010011110001
114278013132
121b3484a529
13c370aa339
146ad8159bb
153d8d54c36
hex254b56a71

10011110001 has 32 divisors (see below), whose sum is σ = 13607544192. Its totient is φ = 6546009600.

The previous prime is 10011109987. The next prime is 10011110003. The reversal of 10011110001 is 10001111001.

10011110001 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 10011110001 - 210 = 10011108977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10011110003) 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, 26839251 + ... + 26839623.

It is an arithmetic number, because the mean of its divisors is an integer number (425235756).

Almost surely, 210011110001 is an apocalyptic number.

It is an amenable number.

10011110001 is a deficient number, since it is larger than the sum of its proper divisors (3596434191).

10011110001 is a wasteful number, since it uses less digits than its factorization.

10011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011110001 its reverse (10001111001), we get a palindrome (20012221002).

It can be divided in two parts, 1001111000 and 1, that added together give a palindrome (1001111001).

The spelling of 10011110001 in words is "ten billion, eleven million, one hundred ten thousand, one".

Divisors: 1 3 101 283 303 313 373 849 939 1119 28583 31613 37673 85749 88579 94839 105559 113019 116749 265737 316677 350247 8946479 10661459 11791649 26839437 31984377 33039967 35374947 99119901 3337036667 10011110001