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1111111344 = 24347122477
BaseRepresentation
bin100001000111010…
…0011011010110000
32212102202022020000
41002032203122300
54233421030334
6302130550000
736351201450
oct10216433260
92772668200
101111111344
11520214442
12270138300
13149271345
14a77d1d60
156782d299
hex423a36b0

1111111344 has 100 divisors (see below), whose sum is σ = 3675319824. Its totient is φ = 317457792.

The previous prime is 1111111343. The next prime is 1111111363. The reversal of 1111111344 is 4431111111.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1111111343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52167 + ... + 70310.

Almost surely, 21111111344 is an apocalyptic number.

1111111344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1111111344 is an abundant number, since it is smaller than the sum of its proper divisors (2564208480).

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

1111111344 is a wasteful number, since it uses less digits than its factorization.

1111111344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122504 (or 122489 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 1111111344 is about 33333.3368266665. The cubic root of 1111111344 is about 1035.7442410153.

Adding to 1111111344 its reverse (4431111111), we get a palindrome (5542222455).

The spelling of 1111111344 in words is "one billion, one hundred eleven million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 122477 244954 367431 489908 734862 857339 979816 1102293 1469724 1714678 1959632 2204586 2572017 2939448 3306879 3429356 4409172 5144034 5878896 6613758 6858712 7716051 8818344 9920637 10288068 13227516 13717424 15432102 17636688 19841274 20576136 23148153 26455032 30864204 39682548 41152272 46296306 52910064 61728408 69444459 79365096 92592612 123456816 138888918 158730192 185185224 277777836 370370448 555555672 1111111344