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1023111144 = 2332112117437
BaseRepresentation
bin111100111110110…
…110111111101000
32122022011102122100
4330332312333220
54043404024034
6245304453400
734232205216
oct7476667750
92568142570
101023111144
11485579600
1224677a260
13133c6c713
1499c45cb6
155ec49099
hex3cfb6fe8

1023111144 has 72 divisors (see below), whose sum is σ = 3045754530. Its totient is φ = 310031040.

The previous prime is 1023111143. The next prime is 1023111151. The reversal of 1023111144 is 4411113201.

It can be written as a sum of positive squares in only one way, i.e., 612562500 + 410548644 = 24750^2 + 20262^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1023111143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50007 + ... + 67430.

Almost surely, 21023111144 is an apocalyptic number.

It is an amenable number.

1023111144 is an abundant number, since it is smaller than the sum of its proper divisors (2022643386).

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

1023111144 is a wasteful number, since it uses less digits than its factorization.

1023111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117471 (or 117453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1023111144 is about 31986.1086098325. The cubic root of 1023111144 is about 1007.6451178922.

Adding to 1023111144 its reverse (4411113201), we get a palindrome (5434224345).

The spelling of 1023111144 in words is "one billion, twenty-three million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 117437 234874 352311 469748 704622 939496 1056933 1291807 1409244 2113866 2583614 2818488 3875421 4227732 5167228 7750842 8455464 10334456 11626263 14209877 15501684 23252526 28419754 31003368 42629631 46505052 56839508 85259262 93010104 113679016 127888893 170518524 255777786 341037048 511555572 1023111144