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11221144112211 = 3117313734000067
BaseRepresentation
bin1010001101001010000001…
…0011110000110001010011
31110201201201211022112221220
42203102200103300301103
52432321400343042321
635510531125220123
72235462261133335
oct243224023606123
943651654275856
1011221144112211
113636951353610
121312896561643
136351c3175017
142ab16b881455
15146d4b0459c6
hexa34a04f0c53

11221144112211 has 32 divisors (see below), whose sum is σ = 16666017331968. Its totient is φ = 6658572925440.

The previous prime is 11221144112207. The next prime is 11221144112239.

11221144112211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11221144112211 - 22 = 11221144112207 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11221144112251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16670001 + ... + 17330066.

It is an arithmetic number, because the mean of its divisors is an integer number (520813041624).

Almost surely, 211221144112211 is an apocalyptic number.

11221144112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221144112211 is a deficient number, since it is larger than the sum of its proper divisors (5444873219757).

11221144112211 is a wasteful number, since it uses less digits than its factorization.

11221144112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34000291.

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

It can be divided in two parts, 1122114 and 4112211, that added together give a palindrome (5234325).

The spelling of 11221144112211 in words is "eleven trillion, two hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 4521 10001 30003 110011 330033 34000067 102000201 374000737 1122002211 2482004891 4658009179 7446014673 13974027537 27302053801 51238100969 81906161403 153714302907 340034670067 1020104010201 3740381370737 11221144112211