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11304323514 = 232111632271543
BaseRepresentation
bin10101000011100101…
…00100100110111010
31002011211002010121200
422201302210212322
5141122401323024
65105414515030
7550063110261
oct124162444672
932154063550
1011304323514
114880aa5630
122235965a76
1310b1caa333
1479348b5d8
154626542c9
hex2a1ca49ba

11304323514 has 96 divisors (see below), whose sum is σ = 27019160064. Its totient is φ = 3387342240.

The previous prime is 11304323501. The next prime is 11304323551. The reversal of 11304323514 is 41532340311.

It is a happy number.

11304323514 is a `hidden beast` number, since 1 + 1 + 304 + 3 + 2 + 351 + 4 = 666.

It is a super-3 number, since 3×113043235143 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7325427 + ... + 7326969.

It is an arithmetic number, because the mean of its divisors is an integer number (281449584).

Almost surely, 211304323514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304323514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509580032).

11304323514 is an abundant number, since it is smaller than the sum of its proper divisors (15714836550).

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

11304323514 is a wasteful number, since it uses less digits than its factorization.

11304323514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11304323514 its reverse (41532340311), we get a palindrome (52836663825).

The spelling of 11304323514 in words is "eleven billion, three hundred four million, three hundred twenty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 227 326 454 489 681 978 1362 1467 1543 1793 2043 2497 2934 3086 3586 4086 4629 4994 5379 7491 9258 10758 13887 14982 16137 16973 22473 27774 32274 33946 37001 44946 50919 74002 101838 111003 152757 222006 251509 305514 333009 350261 407011 503018 666018 700522 754527 814022 1050783 1221033 1509054 2101566 2263581 2442066 2766599 3152349 3663099 3852871 4527162 5533198 6304698 7326198 7705742 8299797 11558613 16599594 23117226 24899391 34675839 49798782 57092543 69351678 114185086 171277629 342555258 513832887 628017973 1027665774 1256035946 1884053919 3768107838 5652161757 11304323514