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11144011044111 = 3111013343537667
BaseRepresentation
bin1010001000101010101011…
…0100011101010100001111
31110110100122021211201011220
42202022222310131110033
52430040413311402421
635411253224014423
72230061660644641
oct242125264352417
943410567751156
1011144011044111
11360716a78a940
1212bb94a901413
1362ab4cca361a
142a7531790891
15144d345d33c6
hexa22aad1d50f

11144011044111 has 16 divisors (see below), whose sum is σ = 16369960422528. Its totient is φ = 6687075332000.

The previous prime is 11144011044031. The next prime is 11144011044143.

11144011044111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11144011044111 - 211 = 11144011042063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144011044011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671765501 + ... + 1671772166.

It is an arithmetic number, because the mean of its divisors is an integer number (1023122526408).

Almost surely, 211144011044111 is an apocalyptic number.

11144011044111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11144011044111 is a deficient number, since it is larger than the sum of its proper divisors (5225949378417).

11144011044111 is a wasteful number, since it uses less digits than its factorization.

11144011044111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343537782.

The product of its (nonzero) digits is 256, while the sum is 24.

It can be divided in two parts, 1114401 and 1044111, that added together give a palindrome (2158512).

The spelling of 11144011044111 in words is "eleven trillion, one hundred forty-four billion, eleven million, forty-four thousand, one hundred eleven".

Divisors: 1 3 11 33 101 303 1111 3333 3343537667 10030613001 36778914337 110336743011 337697304367 1013091913101 3714670348037 11144011044111