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1123389289 = 1142772
BaseRepresentation
bin100001011110101…
…1000111101101001
32220021212002101201
41002331120331221
54300041424124
6303250044201
736560436301
oct10275307551
92807762351
101123389289
11527140000
12274279661
1314b97c9b9
14a92aa601
1568956144
hex42f58f69

1123389289 has 15 divisors (see below), whose sum is σ = 1240197735. Its totient is φ = 1017576120.

The previous prime is 1123389287. The next prime is 1123389331. The reversal of 1123389289 is 9829833211.

The square root of 1123389289 is 33517.

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

It can be written as a sum of positive squares in only one way, i.e., 193627225 + 929762064 = 13915^2 + 30492^2 .

It is not a de Polignac number, because 1123389289 - 21 = 1123389287 is a prime.

It is a Duffinian number.

Its product of digits (186624) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1123389287) 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 14 ways as a sum of consecutive naturals, for example, 4055419 + ... + 4055695.

It is an arithmetic number, because the mean of its divisors is an integer number (82679849).

Almost surely, 21123389289 is an apocalyptic number.

1123389289 is the 33517-th square number.

1123389289 is the 16759-th centered octagonal number.

It is an amenable number.

1123389289 is a deficient number, since it is larger than the sum of its proper divisors (116808446).

1123389289 is an frugal number, since it uses more digits than its factorization.

1123389289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 288 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The cubic root of 1123389289 is about 1039.5453168378.

Multiplying 1123389289 by its product of digits (186624), we get a square (209651402670336 = 144793442).

The spelling of 1123389289 in words is "one billion, one hundred twenty-three million, three hundred eighty-nine thousand, two hundred eighty-nine".

Divisors: 1 11 121 277 1331 3047 14641 33517 76729 368687 844019 4055557 9284209 102126299 1123389289