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11010101011 = 721340143103
BaseRepresentation
bin10100100000100000…
…01100111100010011
31001102022110002012221
422100100030330103
5140022041213021
65020304401511
7536561212600
oct122020147423
931368402187
1011010101011
11473aa07938
122173316297
131066053190
1476637d6a7
154468d7241
hex29040cf13

11010101011 has 24 divisors (see below), whose sum is σ = 13827590784. Its totient is φ = 8689363200.

The previous prime is 11010100991. The next prime is 11010101041.

It is a happy number.

11010101011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-11010101011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

11010101011 is a strobogrammatic number because it is the same when read upside-down.

It is a junction number, because it is equal to n+sod(n) for n = 11010100985 and 11010101003.

It is not an unprimeable number, because it can be changed into a prime (11010101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233886 + ... + 276988.

It is an arithmetic number, because the mean of its divisors is an integer number (576149616).

Almost surely, 211010101011 is an apocalyptic number.

11010101011 is a deficient number, since it is larger than the sum of its proper divisors (2817489773).

11010101011 is a wasteful number, since it uses less digits than its factorization.

11010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43531 (or 43524 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 11010101011 in words is "eleven billion, ten million, one hundred one thousand, eleven".

Divisors: 1 7 13 49 91 401 637 2807 5213 19649 36491 43103 255437 301721 560339 2112047 3922373 17284303 27456611 120990121 224695939 846930847 1572871573 11010101011