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11330312334 = 2311537344371
BaseRepresentation
bin10101000110101011…
…01101100010001110
31002020121222111120120
422203111231202032
5141201024443314
65112143525410
7550530031365
oct124325554216
932217874516
1011330312334
1148947363a0
1222425b9866
1310b74a9633
14796ad47dc
15464a898a9
hex2a356d88e

11330312334 has 64 divisors (see below), whose sum is σ = 25532713728. Its totient is φ = 3322425600.

The previous prime is 11330312327. The next prime is 11330312339. The reversal of 11330312334 is 43321303311.

It is a happy number.

11330312334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330312339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233169 + ... + 277539.

It is an arithmetic number, because the mean of its divisors is an integer number (398948652).

Almost surely, 211330312334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330312334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766356864).

11330312334 is an abundant number, since it is smaller than the sum of its proper divisors (14202401394).

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

11330312334 is a wasteful number, since it uses less digits than its factorization.

11330312334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44513.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11330312334 its reverse (43321303311), we get a palindrome (54651615645).

The spelling of 11330312334 in words is "eleven billion, three hundred thirty million, three hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 73 106 146 159 219 318 438 583 803 1166 1606 1749 2409 3498 3869 4818 7738 11607 23214 42559 44371 85118 88742 127677 133113 255354 266226 488081 976162 1464243 2351663 2928486 3239083 4703326 6478166 7054989 9717249 14109978 19434498 25868293 35629913 51736586 71259826 77604879 106889739 155209758 171671399 213779478 343342798 515014197 1030028394 1888385389 3776770778 5665156167 11330312334