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11221202112003 = 32131091571560081
BaseRepresentation
bin1010001101001010001111…
…0001000000111000000011
31110201201212212110020201100
42203102203301000320003
52432322010220041003
635510541000305443
72235463564130052
oct243224361007003
943651785406640
1011221202112003
113636981068724
1213128b1a72283
136352021a1720
142ab17545c399
15146d511a0ba3
hexa34a3c40e03

11221202112003 has 48 divisors (see below), whose sum is σ = 17626587058080. Its totient is φ = 6837635865600.

The previous prime is 11221202111947. The next prime is 11221202112019. The reversal of 11221202112003 is 30021120212211.

11221202112003 is a `hidden beast` number, since 11 + 221 + 20 + 211 + 200 + 3 = 666.

It is not a de Polignac number, because 11221202112003 - 218 = 11221201849859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221202112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19754923 + ... + 20315003.

It is an arithmetic number, because the mean of its divisors is an integer number (367220563710).

Almost surely, 211221202112003 is an apocalyptic number.

11221202112003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11221202112003 is a deficient number, since it is larger than the sum of its proper divisors (6405384946077).

11221202112003 is a wasteful number, since it uses less digits than its factorization.

11221202112003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561780 (or 561777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11221202112003 its reverse (30021120212211), we get a palindrome (41242322324214).

The spelling of 11221202112003 in words is "eleven trillion, two hundred twenty-one billion, two hundred two million, one hundred twelve thousand, three".

Divisors: 1 3 9 13 39 109 117 327 981 1417 1571 4251 4713 12753 14139 20423 61269 171239 183807 513717 560081 1541151 1680243 2226107 5040729 6678321 7281053 20034963 21843159 61048829 65529477 183146487 549439461 793634777 879887251 2380904331 2639661753 7142712993 7918985259 11438534263 34315602789 95907710359 102946808367 287723131077 863169393231 1246800234667 3740400704001 11221202112003