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11221321313034 = 2327619143874161
BaseRepresentation
bin1010001101001010101011…
…0111101110101100001010
31110201202012011202021210100
42203102222313232230022
52432322231224004114
635511000455230230
72235466542252660
oct243225267565412
943652164667710
1011221321313034
113636a32384178
121312925978376
13635220aa8a91
142ab18720ac30
15146d5b899909
hexa34aadeeb0a

11221321313034 has 48 divisors (see below), whose sum is σ = 27831017897280. Its totient is φ = 3200912311680.

The previous prime is 11221321312961. The next prime is 11221321313087. The reversal of 11221321313034 is 43031312312211.

11221321313034 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 321 + 31 + 303 + 4 = 666.

It is a super-3 number, since 3×112213213130343 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11221321312989 and 11221321313007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71859087 + ... + 72015074.

It is an arithmetic number, because the mean of its divisors is an integer number (579812872860).

Almost surely, 211221321313034 is an apocalyptic number.

11221321313034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11221321313034 is an abundant number, since it is smaller than the sum of its proper divisors (16609696584246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221321313034 is a wasteful number, since it uses less digits than its factorization.

11221321313034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143874795 (or 143874792 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11221321313034 its reverse (43031312312211), we get a palindrome (54252633625245).

The spelling of 11221321313034 in words is "eleven trillion, two hundred twenty-one billion, three hundred twenty-one million, three hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 619 1238 1857 3714 4333 5571 8666 11142 12999 25998 38997 77994 143874161 287748322 431622483 863244966 1007119127 1294867449 2014238254 2589734898 3021357381 6042714762 9064072143 18128144286 89058105659 178116211318 267174316977 534348633954 623406739613 801522950931 1246813479226 1603045901862 1870220218839 3740440437678 5610660656517 11221321313034