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10010001111111 = 3410910091123651
BaseRepresentation
bin1001000110101010001010…
…0011110111100001000111
31022102221120012002100010000
42101222202203313201013
52303000440241023421
633142310411332343
72052125105364531
oct221524243674107
938387505070100
1010010001111111
11320a243737901
1211580091510b3
13577c29144651
142686b54a0851
151255b2e70226
hex91aa28f7847

10010001111111 has 40 divisors (see below), whose sum is σ = 15105366201200. Its totient is φ = 6605551814400.

The previous prime is 10010001111109. The next prime is 10010001111169. The reversal of 10010001111111 is 11111110001001.

It is not a de Polignac number, because 10010001111111 - 21 = 10010001111109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

10010001111111 is a modest number, since divided by 1111111 gives 1001000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10010001111093 and 10010001111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001111211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8346636 + ... + 9470286.

It is an arithmetic number, because the mean of its divisors is an integer number (377634155030).

Almost surely, 210010001111111 is an apocalyptic number.

10010001111111 is a deficient number, since it is larger than the sum of its proper divisors (5095365090089).

10010001111111 is a wasteful number, since it uses less digits than its factorization.

10010001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124781 (or 1124772 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10010001111111 its reverse (11111110001001), we get a palindrome (21121111112112).

The spelling of 10010001111111 in words is "ten trillion, ten billion, one million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 27 81 109 327 981 1009 2943 3027 8829 9081 27243 81729 109981 329943 989829 1123651 2969487 3370953 8908461 10112859 30338577 91015731 122477959 367433877 1102301631 1133763859 3306904893 3401291577 9920714679 10203874731 30611624193 91834872579 123580260631 370740781893 1112222345679 3336667037037 10010001111111