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11220012006 = 2371494993593
BaseRepresentation
bin10100111001100001…
…11100101111100110
31001221221102122222020
422130300330233212
5140434310341011
65053203444010
7545020346160
oct123460745746
931857378866
1011220012006
11483844a0a5
122211686606
13109a69a678
147861c1930
1545a04d006
hex29cc3cbe6

11220012006 has 64 divisors (see below), whose sum is σ = 25876800000. Its totient is φ = 3176937216.

The previous prime is 11220011981. The next prime is 11220012047. The reversal of 11220012006 is 60021002211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3120946 + ... + 3124538.

It is an arithmetic number, because the mean of its divisors is an integer number (404325000).

Almost surely, 211220012006 is an apocalyptic number.

11220012006 is an abundant number, since it is smaller than the sum of its proper divisors (14656787994).

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

11220012006 is a wasteful number, since it uses less digits than its factorization.

11220012006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11220012006 its reverse (60021002211), we get a palindrome (71241014217).

The spelling of 11220012006 in words is "eleven billion, two hundred twenty million, twelve thousand, six".

Divisors: 1 2 3 6 7 14 21 42 149 298 447 499 894 998 1043 1497 2086 2994 3129 3493 3593 6258 6986 7186 10479 10779 20958 21558 25151 50302 74351 75453 148702 150906 223053 446106 520457 535357 1040914 1070714 1561371 1606071 1792907 3122742 3212142 3585814 3747499 5378721 7494998 10757442 11242497 12550349 22484994 25100698 37651047 75302094 267143143 534286286 801429429 1602858858 1870002001 3740004002 5610006003 11220012006