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11200222112221 = 312618310322349
BaseRepresentation
bin1010001011111100000101…
…0000101010100111011101
31110122201201201212211111101
42202333001100222213131
52432001023330042341
635453151102153101
72234121642101662
oct242770120524735
943581651784441
1011200222112221
113628a9543632a
12130a817882791
1363323a77017c
142aa144d53a69
151465243a4831
hexa2fc142a9dd

11200222112221 has 48 divisors (see below), whose sum is σ = 12020736873600. Its totient is φ = 10430061897600.

The previous prime is 11200222112207. The next prime is 11200222112347. The reversal of 11200222112221 is 12221122200211.

11200222112221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11200222112221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200222182221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501139755 + ... + 501162103.

It is an arithmetic number, because the mean of its divisors is an integer number (250432018200).

Almost surely, 211200222112221 is an apocalyptic number.

It is an amenable number.

11200222112221 is a deficient number, since it is larger than the sum of its proper divisors (820514761379).

11200222112221 is a wasteful number, since it uses less digits than its factorization.

11200222112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22658 (or 22627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11200222112221 its reverse (12221122200211), we get a palindrome (23421344312432).

The spelling of 11200222112221 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 31 61 83 103 961 1891 2573 3193 5063 6283 8549 22349 58621 79763 98983 156953 194773 265019 521489 692819 1363289 1854967 2301947 4865543 6037963 8215589 16166159 21477389 42261959 57503977 71360357 113152987 140418767 191061601 501150929 1310120729 1782623287 2212171067 3507742597 4352981777 5922909631 11654757661 108740020507 134942435087 183610198561 361297487491 11200222112221