Search a number
-
+
1113116634 = 23373193163
BaseRepresentation
bin100001001011000…
…1100111111011010
32212120112011222000
41002112030333122
54234424213014
6302241541430
736404223000
oct10226147732
92776464860
101113116634
11521364003
12270944876
131497c3cc6
14a7b94a70
1567ac7509
hex4258cfda

1113116634 has 128 divisors (see below), whose sum is σ = 3037440000. Its totient is φ = 301199472.

The previous prime is 1113116603. The next prime is 1113116647. The reversal of 1113116634 is 4366113111.

1113116634 is a `hidden beast` number, since 1 + 1 + 13 + 1 + 16 + 634 = 666.

1113116634 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1113116598 and 1113116607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350337 + ... + 353499.

It is an arithmetic number, because the mean of its divisors is an integer number (23730000).

Almost surely, 21113116634 is an apocalyptic number.

1113116634 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 1113116634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518720000).

1113116634 is an abundant number, since it is smaller than the sum of its proper divisors (1924323366).

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

1113116634 is a wasteful number, since it uses less digits than its factorization.

1113116634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3194 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1113116634 is about 33363.4026142419. The cubic root of 1113116634 is about 1036.3669566879.

Adding to 1113116634 its reverse (4366113111), we get a palindrome (5479229745).

The spelling of 1113116634 in words is "one billion, one hundred thirteen million, one hundred sixteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 343 378 399 441 513 686 798 882 931 1026 1029 1197 1323 1862 2058 2394 2646 2793 3087 3163 3591 5586 6174 6326 6517 7182 8379 9261 9489 13034 16758 18522 18978 19551 22141 25137 28467 39102 44282 50274 56934 58653 60097 66423 85401 117306 120194 132846 154987 170802 175959 180291 199269 309974 351918 360582 398538 420679 464961 540873 597807 841358 929922 1081746 1084909 1195614 1262037 1394883 1622619 2169818 2524074 2789766 2944753 3245238 3254727 3786111 4184649 5889506 6509454 7572222 8369298 8834259 9764181 11358333 17668518 19528362 20613271 22716666 26502777 29292543 41226542 53005554 58585086 61839813 79508331 123679626 159016662 185519439 371038878 556558317 1113116634