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11021012283681 = 32937211812
BaseRepresentation
bin1010000001100000011110…
…0001011011000100100001
31110000121011021222021201100
42200120013201123010201
52421032013121034211
635234552205425013
72215145646511521
oct240300741330441
943017137867640
1011021012283681
113569a92131714
12129bb4286b169
1361c37a749cca
142a15c4085681
15141a36231156
hexa060785b121

11021012283681 has 27 divisors (see below), whose sum is σ = 15949752965913. Its totient is φ = 7333285527360.

The previous prime is 11021012283613. The next prime is 11021012283713. The reversal of 11021012283681 is 18638221012011.

It is a happy number.

The square root of 11021012283681 is 3319791.

It is a perfect power (a square), and thus also a powerful number.

11021012283681 is a `hidden beast` number, since 110 + 210 + 1 + 228 + 36 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40298555025 + 10980713728656 = 200745^2 + 3313716^2 .

It is a de Polignac number, because none of the positive numbers 2k-11021012283681 is a prime.

It is a super-2 number, since 2×110210122836812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11021012288681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9331931911 + ... + 9331933091.

Almost surely, 211021012283681 is an apocalyptic number.

11021012283681 is the 3319791-st square number.

11021012283681 is the 1659896-th centered octagonal number.

It is an amenable number.

11021012283681 is a deficient number, since it is larger than the sum of its proper divisors (4928740682232).

11021012283681 is an frugal number, since it uses more digits than its factorization.

11021012283681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Multiplying 11021012283681 by its sum of digits (36), we get a square (396756442212516 = 199187462).

Adding to 11021012283681 its reverse (18638221012011), we get a palindrome (29659233295692).

The spelling of 11021012283681 in words is "eleven trillion, twenty-one billion, twelve million, two hundred eighty-three thousand, six hundred eighty-one".

Divisors: 1 3 9 937 1181 2811 3543 8433 10629 877969 1106597 1394761 2633907 3319791 4184283 7901721 9959373 12552849 1036881389 1306891057 3110644167 3920673171 9331932501 11762019513 1224556920409 3673670761227 11021012283681