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11111478921 = 324128572
BaseRepresentation
bin10100101100100101…
…11011011010001001
31001200101012121120100
422112102323122021
5140224014311141
65034325320013
7542232004164
oct122622733211
931611177510
1011111478921
11479215a634
1221a1266009
131081059bca
14775a0cadb
154507600b6
hex2964bb689

11111478921 has 27 divisors (see below), whose sum is σ = 16470141493. Its totient is φ = 7218545280.

The previous prime is 11111478887. The next prime is 11111478929. The reversal of 11111478921 is 12987411111.

The square root of 11111478921 is 105411.

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

11111478921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30969225 + 11080509696 = 5565^2 + 105264^2 .

It is not a de Polignac number, because 11111478921 - 231 = 8963995273 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11111478929) 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 26 ways as a sum of consecutive naturals, for example, 12965125 + ... + 12965981.

Almost surely, 211111478921 is an apocalyptic number.

11111478921 is the 105411-st square number.

11111478921 is the 52706-th centered octagonal number.

It is an amenable number.

11111478921 is a deficient number, since it is larger than the sum of its proper divisors (5358662572).

11111478921 is an frugal number, since it uses more digits than its factorization.

11111478921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 901 counting only the distinct ones).

The product of its digits is 4032, while the sum is 36.

Multiplying 11111478921 by its sum of digits (36), we get a square (400013241156 = 6324662).

The spelling of 11111478921 in words is "eleven billion, one hundred eleven million, four hundred seventy-eight thousand, nine hundred twenty-one".

Divisors: 1 3 9 41 123 369 857 1681 2571 5043 7713 15129 35137 105411 316233 734449 1440617 2203347 4321851 6610041 12965553 30112409 90337227 271011681 1234608769 3703826307 11111478921