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1116122124 = 2231353612213
BaseRepresentation
bin100001010000110…
…1010110000001100
32212210011212201110
41002201222300030
54241211401444
6302430212020
736441611235
oct10241526014
92783155643
101116122124
11523027087
12271954010
1314a306cc0
14a833808c
1567ebccb9
hex4286ac0c

1116122124 has 96 divisors (see below), whose sum is σ = 2905689024. Its totient is φ = 331269120.

The previous prime is 1116122123. The next prime is 1116122141. The reversal of 1116122124 is 4212216111.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1116122124.

It is not an unprimeable number, because it can be changed into a prime (1116122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503242 + ... + 505454.

It is an arithmetic number, because the mean of its divisors is an integer number (30267594).

Almost surely, 21116122124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452844512).

1116122124 is an abundant number, since it is smaller than the sum of its proper divisors (1789566900).

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

1116122124 is a wasteful number, since it uses less digits than its factorization.

1116122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2345 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1116122124 is about 33408.4139701363. The cubic root of 1116122124 is about 1037.2988720104.

Adding to 1116122124 its reverse (4212216111), we get a palindrome (5328338235).

The spelling of 1116122124 in words is "one billion, one hundred sixteen million, one hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 61 78 106 122 156 159 183 212 244 318 366 636 689 732 793 1378 1586 2067 2213 2379 2756 3172 3233 4134 4426 4758 6466 6639 8268 8852 9516 9699 12932 13278 19398 26556 28769 38796 42029 57538 84058 86307 115076 117289 126087 134993 168116 172614 234578 252174 269986 345228 351867 404979 469156 504348 539972 703734 809958 1407468 1524757 1619916 1754909 3049514 3509818 4574271 5264727 6099028 7019636 7154629 9148542 10529454 14309258 18297084 21058908 21463887 28618516 42927774 85855548 93010177 186020354 279030531 372040708 558061062 1116122124