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11220331022329 = 1121326926517017
BaseRepresentation
bin1010001101000110111111…
…0110000100011111111001
31110201122122011100022022211
42203101233312010133321
52432313214220203304
635510314322015121
72235433156031032
oct243215766043771
943648564308284
1011220331022329
113636574392100
1213126aa1a74a1
136350c388b050
142ab0d18a9a89
15146cee985204
hexa346fd847f9

11220331022329 has 24 divisors (see below), whose sum is σ = 13331165629320. Its totient is φ = 9380659580160.

The previous prime is 11220331022291. The next prime is 11220331022377. The reversal of 11220331022329 is 92322013302211.

It can be written as a sum of positive squares in 4 ways, for example, as 13557109225 + 11206773913104 = 116435^2 + 3347652^2 .

It is not a de Polignac number, because 11220331022329 - 217 = 11220330891257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11220331022329.

It is not an unprimeable number, because it can be changed into a prime (11220331022429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12835372 + ... + 13681645.

It is an arithmetic number, because the mean of its divisors is an integer number (555465234555).

Almost surely, 211220331022329 is an apocalyptic number.

It is an amenable number.

11220331022329 is a deficient number, since it is larger than the sum of its proper divisors (2110834606991).

11220331022329 is a wasteful number, since it uses less digits than its factorization.

11220331022329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517321 (or 26517310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 11220331022329 in words is "eleven trillion, two hundred twenty billion, three hundred thirty-one million, twenty-two thousand, three hundred twenty-nine".

Divisors: 1 11 13 121 143 269 1573 2959 3497 32549 38467 423137 26517017 291687187 344721221 3208559057 3791933431 7133077573 41711267741 78463853303 92730008449 863102386333 1020030092939 11220331022329