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11461221045 = 32512719310391
BaseRepresentation
bin10101010110010010…
…00101101010110101
31002120202022100120100
422223021011222311
5141433033033140
65133141424313
7554006525421
oct125311055265
932522270510
1011461221045
11495161900a
12227a40b099
131108652901
147aa24db81
154712e7530
hex2ab245ab5

11461221045 has 48 divisors (see below), whose sum is σ = 20128223232. Its totient is φ = 6032517120.

The previous prime is 11461221043. The next prime is 11461221089. The reversal of 11461221045 is 54012216411.

11461221045 is a `hidden beast` number, since 1 + 1 + 4 + 612 + 2 + 1 + 0 + 45 = 666.

11461221045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11461221045 - 21 = 11461221043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461221043) 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, 1097800 + ... + 1108190.

It is an arithmetic number, because the mean of its divisors is an integer number (419337984).

Almost surely, 211461221045 is an apocalyptic number.

11461221045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11461221045 is a deficient number, since it is larger than the sum of its proper divisors (8667002187).

11461221045 is a wasteful number, since it uses less digits than its factorization.

11461221045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10722 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11461221045 its reverse (54012216411), we get a palindrome (65473437456).

The spelling of 11461221045 in words is "eleven billion, four hundred sixty-one million, two hundred twenty-one thousand, forty-five".

Divisors: 1 3 5 9 15 45 127 193 381 579 635 965 1143 1737 1905 2895 5715 8685 10391 24511 31173 51955 73533 93519 122555 155865 220599 367665 467595 1102995 1319657 2005463 3958971 6016389 6598285 10027315 11876913 18049167 19794855 30081945 59384565 90245835 254693801 764081403 1273469005 2292244209 3820407015 11461221045