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11334411114 = 23131397571381
BaseRepresentation
bin10101000111001010…
…10110001101101010
31002020220200202001020
422203211112031222
5141203102123424
65112411433310
7550606622235
oct124345261552
932226622036
1011334411114
114896a85914
122243a55836
1310b82b3150
1479748041c
154650e9079
hex2a395636a

11334411114 has 64 divisors (see below), whose sum is σ = 24638517120. Its totient is φ = 3455343360.

The previous prime is 11334411083. The next prime is 11334411131. The reversal of 11334411114 is 41111443311.

11334411114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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, 8206704 + ... + 8208084.

It is an arithmetic number, because the mean of its divisors is an integer number (384976830).

Almost surely, 211334411114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334411114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319258560).

11334411114 is an abundant number, since it is smaller than the sum of its proper divisors (13304106006).

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

11334411114 is a wasteful number, since it uses less digits than its factorization.

11334411114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295.

The product of its digits is 576, while the sum is 24.

Adding to 11334411114 its reverse (41111443311), we get a palindrome (52445854425).

The spelling of 11334411114 in words is "eleven billion, three hundred thirty-four million, four hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 139 278 417 757 834 1381 1514 1807 2271 2762 3614 4143 4542 5421 8286 9841 10842 17953 19682 29523 35906 53859 59046 105223 107718 191959 210446 315669 383918 575877 631338 1045417 1151754 1367899 2090834 2495467 2735798 3136251 4103697 4990934 6272502 7486401 8207394 13590421 14972802 27180842 40771263 81542526 145312963 290625926 435938889 871877778 1889068519 3778137038 5667205557 11334411114