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1116611034 = 237111728363
BaseRepresentation
bin100001010001110…
…0010000111011010
32212211002201101020
41002203202013122
54241323023114
6302444503310
736446015520
oct10243420732
92784081336
101116611034
11523330440
12271b4ab36
1314a4486b6
14a8424310
1568067aa9
hex428e21da

1116611034 has 96 divisors (see below), whose sum is σ = 2958045696. Its totient is φ = 272935680.

The previous prime is 1116611009. The next prime is 1116611053. The reversal of 1116611034 is 4301166111.

It is a junction number, because it is equal to n+sod(n) for n = 1116610995 and 1116611013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 129337 + ... + 137699.

It is an arithmetic number, because the mean of its divisors is an integer number (30812976).

Almost surely, 21116611034 is an apocalyptic number.

1116611034 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 1116611034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479022848).

1116611034 is an abundant number, since it is smaller than the sum of its proper divisors (1841434662).

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

1116611034 is a wasteful number, since it uses less digits than its factorization.

1116611034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1116611034 is about 33415.7303376718. The cubic root of 1116611034 is about 1037.4503105636.

Adding to 1116611034 its reverse (4301166111), we get a palindrome (5417777145).

The spelling of 1116611034 in words is "one billion, one hundred sixteen million, six hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 289 357 374 462 561 578 714 867 1122 1309 1734 2023 2618 3179 3927 4046 6069 6358 7854 8363 9537 12138 16726 19074 22253 25089 44506 50178 58541 66759 91993 117082 133518 142171 175623 183986 275979 284342 351246 426513 551958 643951 853026 995197 1287902 1563881 1931853 1990394 2416907 2985591 3127762 3863706 4691643 4833814 5971182 7250721 9383286 10947167 14501442 16918349 21894334 26585977 32841501 33836698 50755047 53171954 65683002 79757931 101510094 159515862 186101839 372203678 558305517 1116611034