Search a number
-
+
1111135014 = 2321122341541
BaseRepresentation
bin100001000111010…
…1001001100100110
32212102210111200200
41002032221030212
54233422310024
6302131251330
736351330453
oct10216511446
92772714620
101111135014
11520230200
12270149b46
1314927c052
14a77da82a
15678352c9
hex423a9326

1111135014 has 144 divisors (see below), whose sum is σ = 2833844832. Its totient is φ = 313632000.

The previous prime is 1111135013. The next prime is 1111135043. The reversal of 1111135014 is 4105311111.

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 (1111135013) 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 71 ways as a sum of consecutive naturals, for example, 2053584 + ... + 2054124.

It is an arithmetic number, because the mean of its divisors is an integer number (19679478).

Almost surely, 21111135014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111135014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416922416).

1111135014 is an abundant number, since it is smaller than the sum of its proper divisors (1722709818).

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

1111135014 is a wasteful number, since it uses less digits than its factorization.

1111135014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 1111135014 is about 33333.6918747384. The cubic root of 1111135014 is about 1035.7515957814.

Adding to 1111135014 its reverse (4105311111), we get a palindrome (5216446125).

The spelling of 1111135014 in words is "one billion, one hundred eleven million, one hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 41 46 66 69 82 99 121 123 138 198 207 242 246 253 363 369 414 451 506 541 726 738 759 902 943 1082 1089 1353 1518 1623 1886 2178 2277 2706 2783 2829 3246 4059 4554 4869 4961 5566 5658 5951 8118 8349 8487 9738 9922 10373 11902 12443 14883 16698 16974 17853 20746 22181 24886 25047 29766 31119 35706 37329 44362 44649 50094 53559 62238 65461 66543 74658 89298 93357 107118 111987 114103 130922 133086 136873 186714 196383 199629 223974 228206 243991 273746 342309 392766 399258 410619 487982 510163 589149 684618 731973 821238 1020326 1026927 1178298 1231857 1463946 1505603 1530489 2053854 2195919 2463714 2683901 3011206 3060978 4391838 4516809 4591467 5367802 5611793 8051703 9033618 9182934 11223586 13550427 16103406 16835379 24155109 27100854 33670758 48310218 50506137 61729723 101012274 123459446 185189169 370378338 555567507 1111135014