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11331321223113 = 333754121379811
BaseRepresentation
bin1010010011100100011101…
…1000000101011111001001
31111010021010020222200211000
42210321013120011133021
52441123021213114423
640033312003125213
72246442463130163
oct244710730053711
944107106880730
1011331321223113
11367964a472771
121330104673809
13642701273a78
142b26203a9933
15149b48975843
hexa4e476057c9

11331321223113 has 64 divisors (see below), whose sum is σ = 17282561655040. Its totient is φ = 7332279667200.

The previous prime is 11331321223087. The next prime is 11331321223133. The reversal of 11331321223113 is 31132212313311.

11331321223113 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 321 + 22 + 311 + 3 = 666.

It is not a de Polignac number, because 11331321223113 - 26 = 11331321223049 is a prime.

It is a super-2 number, since 2×113313212231132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331321223133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1154955978 + ... + 1154965788.

It is an arithmetic number, because the mean of its divisors is an integer number (270040025860).

Almost surely, 211331321223113 is an apocalyptic number.

It is an amenable number.

11331321223113 is a deficient number, since it is larger than the sum of its proper divisors (5951240431927).

11331321223113 is a wasteful number, since it uses less digits than its factorization.

11331321223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535 (or 12529 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11331321223113 its reverse (31132212313311), we get a palindrome (42463533536424).

The spelling of 11331321223113 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 27 37 111 333 541 999 1623 2137 4869 6411 9811 14607 19233 20017 29433 57699 60051 79069 88299 180153 237207 264897 363007 540459 711621 1089021 1156117 2134863 3267063 3468351 5307751 9801189 10405053 15923253 20966107 31215159 42776329 47769759 62898321 128328987 143309277 188694963 196386787 384986961 566084889 589160361 775745959 1154960883 1767481083 2327237877 5302443249 6981713631 11342663887 20945140893 34027991661 102083974983 306251924949 419678563819 1259035691457 3777107074371 11331321223113