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113113865328 = 243171013136841
BaseRepresentation
bin110100101011000011…
…1001001110001110000
3101210222002200201120120
41221112013021301300
53323124122142303
6123544102410240
711113031664012
oct1512607116160
9353862621516
10113113865328
1143a75912232
1219b09730980
13a88866ac79
14569098a1b2
152e2067e553
hex1a561c9c70

113113865328 has 80 divisors (see below), whose sum is σ = 309707382816. Its totient is φ = 35451412480.

The previous prime is 113113865317. The next prime is 113113865357. The reversal of 113113865328 is 823568311311.

It is a self number, because there is not a number n which added to its sum of digits gives 113113865328.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 758188 + ... + 895028.

Almost surely, 2113113865328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113113865328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154853691408).

113113865328 is an abundant number, since it is smaller than the sum of its proper divisors (196593517488).

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

113113865328 is a wasteful number, since it uses less digits than its factorization.

113113865328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137882 (or 137876 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The spelling of 113113865328 in words is "one hundred thirteen billion, one hundred thirteen million, eight hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1013 2026 3039 4052 6078 8104 12156 16208 17221 24312 34442 48624 51663 68884 103326 136841 137768 206652 273682 275536 410523 413304 547364 821046 826608 1094728 1642092 2189456 2326297 3284184 4652594 6568368 6978891 9305188 13957782 18610376 27915564 37220752 55831128 111662256 138619933 277239866 415859799 554479732 831719598 1108959464 1663439196 2217918928 2356538861 3326878392 4713077722 6653756784 7069616583 9426155444 14139233166 18852310888 28278466332 37704621776 56556932664 113113865328