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11012100011 = 112233956917
BaseRepresentation
bin10100100000101111…
…10100111110101011
31001102110012122022222
422100113310332223
5140023044200021
65020415304255
7536614206563
oct122027647653
931373178288
1011012100011
114741052800
122173b1b08b
1310665a3013
1476673dda3
15446b7e6ab
hex2905f4fab

11012100011 has 12 divisors (see below), whose sum is σ = 12630482256. Its totient is φ = 9575736720.

The previous prime is 11012099981. The next prime is 11012100041. The reversal of 11012100011 is 11000121011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11012099981) and next prime (11012100041).

It is not a de Polignac number, because 11012100011 - 218 = 11011837867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11012100041) 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 11 ways as a sum of consecutive naturals, for example, 1975676 + ... + 1981241.

It is an arithmetic number, because the mean of its divisors is an integer number (1052540188).

Almost surely, 211012100011 is an apocalyptic number.

11012100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012100011 is a deficient number, since it is larger than the sum of its proper divisors (1618382245).

11012100011 is a wasteful number, since it uses less digits than its factorization.

11012100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956962 (or 3956951 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11012100011 its reverse (11000121011), we get a palindrome (22012221022).

It can be divided in two parts, 110121000 and 11, that added together give a palindrome (110121011).

The spelling of 11012100011 in words is "eleven billion, twelve million, one hundred thousand, eleven".

Divisors: 1 11 23 121 253 2783 3956917 43526087 91009091 478786957 1001100001 11012100011