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11330311014 = 23211223376113
BaseRepresentation
bin10101000110101011…
…01101001101100110
31002020121222102202200
422203111231031212
5141201024423024
65112143515330
7550530024501
oct124325551546
932217872680
1011330311014
114894735400
1222425b8b46
1310b74a8b59
14796ad4138
15464a892c9
hex2a356d366

11330311014 has 144 divisors (see below), whose sum is σ = 28922546016. Its totient is φ = 3194864640.

The previous prime is 11330310949. The next prime is 11330311039. The reversal of 11330311014 is 41011303311.

11330311014 is a `hidden beast` number, since 11 + 330 + 311 + 0 + 14 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1850422 + ... + 1856534.

It is an arithmetic number, because the mean of its divisors is an integer number (200851014).

Almost surely, 211330311014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330311014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461273008).

11330311014 is an abundant number, since it is smaller than the sum of its proper divisors (17592235002).

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

11330311014 is a wasteful number, since it uses less digits than its factorization.

11330311014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11330311014 its reverse (41011303311), we get a palindrome (52341614325).

The spelling of 11330311014 in words is "eleven billion, three hundred thirty million, three hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 121 138 198 207 222 242 253 333 363 407 414 506 666 726 759 814 851 1089 1221 1518 1702 2178 2277 2442 2553 2783 3663 4477 4554 5106 5566 6113 7326 7659 8349 8954 9361 12226 13431 15318 16698 18339 18722 25047 26862 28083 36678 40293 50094 55017 56166 67243 80586 84249 102971 110034 134486 140599 168498 201729 205942 226181 281198 308913 403458 421797 452362 605187 617826 678543 739673 843594 926739 1210374 1265391 1357086 1479346 1546589 1853478 2035629 2219019 2487991 2530782 3093178 4071258 4438038 4639767 4975982 5202163 6657057 7463973 9279534 10404326 13314114 13919301 14927946 15606489 17012479 22391919 27367901 27838602 31212978 34024958 44783838 46819467 51037437 54735802 57223793 82103703 93638934 102074874 114447586 153112311 164207406 171671379 246311109 306224622 343342758 492622218 515014137 629461723 1030028274 1258923446 1888385169 3776770338 5665155507 11330311014