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1104124014 = 233741191373
BaseRepresentation
bin100000111001111…
…1001100001101110
32211221121022102000
41001303321201232
54230123432024
6301321113130
736234620310
oct10163714156
92757538360
101104124014
11517281794
122699287a6
13147995b26
14a68d37b0
1566deccc9
hex41cf986e

1104124014 has 128 divisors (see below), whose sum is σ = 2895298560. Its totient is φ = 305337600.

The previous prime is 1104124013. The next prime is 1104124019. The reversal of 1104124014 is 4104214011.

1104124014 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104124013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2959932 + ... + 2960304.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 21104124014 is an apocalyptic number.

1104124014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104124014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447649280).

1104124014 is an abundant number, since it is smaller than the sum of its proper divisors (1791174546).

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

1104124014 is a wasteful number, since it uses less digits than its factorization.

1104124014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1104124014 is about 33228.3615906653. The cubic root of 1104124014 is about 1033.5685483507.

Adding to 1104124014 its reverse (4104214011), we get a palindrome (5208338025).

The spelling of 1104124014 in words is "one billion, one hundred four million, one hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 191 246 287 369 373 378 382 573 574 738 746 861 1107 1119 1146 1337 1719 1722 2214 2238 2583 2611 2674 3357 3438 4011 5157 5166 5222 6714 7749 7831 7833 8022 10071 10314 12033 15293 15498 15662 15666 20142 23493 23499 24066 30586 36099 45879 46986 46998 54817 70479 70497 71243 72198 91758 107051 109634 137637 140958 140994 142486 164451 211437 213729 214102 275274 321153 328902 412911 422874 427458 493353 498701 641187 642306 825822 963459 986706 997402 1282374 1480059 1496103 1923561 1926918 2890377 2920963 2960118 2992206 3847122 4488309 5780754 5841926 8762889 8976618 13464927 17525778 20446741 26288667 26929854 40893482 52577334 61340223 78866001 122680446 157732002 184020669 368041338 552062007 1104124014