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11001010010011 = 7172925931229377
BaseRepresentation
bin1010000000010101111101…
…0010110011011110011011
31102221200112022011111120121
42200011133102303132123
52420220032030310021
635221443315334111
72213540166135040
oct240053722633633
942850468144517
1011001010010011
11356155839a42a
12129809bbb1337
1361a510757508
142a064776b1c7
151412651b6741
hexa015f4b379b

11001010010011 has 32 divisors (see below), whose sum is σ = 13776508218240. Its totient is φ = 8565426487296.

The previous prime is 11001010010009. The next prime is 11001010010021. The reversal of 11001010010011 is 11001001010011.

It is a happy number.

It is not a de Polignac number, because 11001010010011 - 21 = 11001010010009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001010009976 and 11001010010003.

It is not an unprimeable number, because it can be changed into a prime (11001010010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8333755 + ... + 9563131.

It is an arithmetic number, because the mean of its divisors is an integer number (430515881820).

Almost surely, 211001010010011 is an apocalyptic number.

11001010010011 is a deficient number, since it is larger than the sum of its proper divisors (2775498208229).

11001010010011 is a wasteful number, since it uses less digits than its factorization.

11001010010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232023.

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

Adding to 11001010010011 its reverse (11001001010011), we get a palindrome (22002011020022).

Subtracting from 11001010010011 its reverse (11001001010011), we obtain a square (9000000 = 30002).

The spelling of 11001010010011 in words is "eleven trillion, one billion, ten million, ten thousand, eleven".

Divisors: 1 7 17 29 119 203 493 2593 3451 18151 44081 75197 308567 526379 1229377 1278349 8605639 8948443 20899409 35651933 146295863 249563531 606082861 3187774561 4242580027 22314421927 54192167537 92445462269 379345172759 647118235883 1571572858573 11001010010011