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10010101111111 = 131123127620603
BaseRepresentation
bin1001000110101010100010…
…0001010101100101000111
31022102221211011020212022201
42101222220201111211013
52303001141341023421
633142324342535331
72052130431356653
oct221525041254507
938387734225281
1010010101111111
11320a295129332
121158036737547
13577c43a8814a
142686c4891a63
151255bbb24b91
hex91aa8855947

10010101111111 has 8 divisors (see below), whose sum is σ = 10086612269184. Its totient is φ = 9933591440760.

The previous prime is 10010101111037. The next prime is 10010101111141. The reversal of 10010101111111 is 11111110101001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010101111111 - 27 = 10010101110983 is a prime.

It is a Duffinian number.

10010101111111 is a modest number, since divided by 1111111 gives 1001010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15819336 + ... + 16439938.

It is an arithmetic number, because the mean of its divisors is an integer number (1260826533648).

Almost surely, 210010101111111 is an apocalyptic number.

10010101111111 is a deficient number, since it is larger than the sum of its proper divisors (76511158073).

10010101111111 is a wasteful number, since it uses less digits than its factorization.

10010101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743861.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10010101111111 its reverse (11111110101001), we get a palindrome (21121211212112).

The spelling of 10010101111111 in words is "ten trillion, ten billion, one hundred one million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 131 123127 620603 16129637 81298993 76412985581 10010101111111