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11001013331 = 7111311090613
BaseRepresentation
bin10100011111011011…
…00010010001010011
31001101200100101021012
422033231202101103
5140012224411311
65015341521135
7536421033110
oct121755422123
931350311235
1011001013331
114735870160
1221702731ab
1310641c0959
14765095907
15445bde78b
hex28fb62453

11001013331 has 16 divisors (see below), whose sum is σ = 13820260608. Its totient is φ = 8506773600.

The previous prime is 11001013267. The next prime is 11001013391. The reversal of 11001013331 is 13331010011.

It is a happy number.

11001013331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11001013331 - 26 = 11001013267 is a prime.

It is a super-2 number, since 2×110010133312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11001013391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535220 + ... + 555393.

It is an arithmetic number, because the mean of its divisors is an integer number (863766288).

Almost surely, 211001013331 is an apocalyptic number.

11001013331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001013331 is a deficient number, since it is larger than the sum of its proper divisors (2819247277).

11001013331 is a wasteful number, since it uses less digits than its factorization.

11001013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090762.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11001013331 its reverse (13331010011), we get a palindrome (24332023342).

The spelling of 11001013331 in words is "eleven billion, one million, thirteen thousand, three hundred thirty-one".

Divisors: 1 7 11 77 131 917 1441 10087 1090613 7634291 11996743 83977201 142870303 1000092121 1571573333 11001013331