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12200111100221 = 111303851190337
BaseRepresentation
bin1011000110001000111101…
…0010011101000100111101
31121012022121201102021010212
42301202033102131010331
53044341311420201341
641540353105242205
72366300061212612
oct261421722350475
947168551367125
1012200111100221
113984046729270
121450568633365
136a6608a3ab25
143026ba740509
15162545edd5eb
hexb188f49d13d

12200111100221 has 8 divisors (see below), whose sum is σ = 13319426409024. Its totient is φ = 11082498174720.

The previous prime is 12200111100209. The next prime is 12200111100269.

12200111100221 is nontrivially palindromic in base 10.

12200111100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200111100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200111100196 and 12200111100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200111100421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425580836 + ... + 425609501.

It is an arithmetic number, because the mean of its divisors is an integer number (1664928301128).

Almost surely, 212200111100221 is an apocalyptic number.

12200111100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200111100221 is a deficient number, since it is larger than the sum of its proper divisors (1119315308803).

12200111100221 is a wasteful number, since it uses less digits than its factorization.

12200111100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851191651.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1220011 and 1100221, that added together give a palindrome (2320232).

The spelling of 12200111100221 in words is "twelve trillion, two hundred billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 1303 14333 851190337 9363093707 1109101009111 12200111100221