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11200221120121 = 1141731372483171
BaseRepresentation
bin1010001011111100000100…
…1100111000011001111001
31110122201201200000102120221
42202333001030320121321
52432001023101320441
635453151025020041
72234121630500365
oct242770114703171
943581650012527
1011200221120121
113628a94918a10
12130a817484621
1363323a4b3727
142aa144b762a5
1514652425a8d1
hexa2fc1338679

11200221120121 has 32 divisors (see below), whose sum is σ = 12780508841856. Its totient is φ = 9726080256000.

The previous prime is 11200221120103. The next prime is 11200221120131. The reversal of 11200221120121 is 12102112200211.

11200221120121 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 11200221120121 - 29 = 11200221119609 is a prime.

It is a super-2 number, since 2×112002211201212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11200221120095 and 11200221120104.

It is not an unprimeable number, because it can be changed into a prime (11200221120131) 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, 3268866 + ... + 5752036.

It is an arithmetic number, because the mean of its divisors is an integer number (399390901308).

Almost surely, 211200221120121 is an apocalyptic number.

11200221120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11200221120121 is a deficient number, since it is larger than the sum of its proper divisors (1580287721735).

11200221120121 is a wasteful number, since it uses less digits than its factorization.

11200221120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483433.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11200221120121 its reverse (12102112200211), we get a palindrome (23302333320332).

The spelling of 11200221120121 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 11 41 73 137 451 803 1507 2993 5617 10001 32923 61787 110011 410041 2483171 4510451 27314881 101810011 181271483 340194427 1119910121 1993986313 3742138697 7432130803 13947971507 24834193171 81753438833 153427686577 273176124881 1018201920011 11200221120121