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113103313344 = 26327112324979
BaseRepresentation
bin110100101010101111…
…0111001100111000000
3101210221100211121222100
41221111132321213000
53323113422011334
6123543044310400
711112543205140
oct1512536714700
9353840747870
10113103313344
1143a6a96538a
1219b060a2400
13a8864150a8
14568d400920
152e1e797c99
hex1a557b99c0

113103313344 has 168 divisors, whose sum is σ = 370847884160. Its totient is φ = 32285164032.

The previous prime is 113103313331. The next prime is 113103313357. The reversal of 113103313344 is 443313301311.

113103313344 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 3 + 313 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (113103313331) and next prime (113103313357).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515447 + ... + 4540425.

Almost surely, 2113103313344 is an apocalyptic number.

113103313344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113103313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185423942080).

113103313344 is an abundant number, since it is smaller than the sum of its proper divisors (257744570816).

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

113103313344 is a wasteful number, since it uses less digits than its factorization.

113103313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26127 (or 26114 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113103313344 its reverse (443313301311), we get a palindrome (556416614655).

The spelling of 113103313344 in words is "one hundred thirteen billion, one hundred three million, three hundred thirteen thousand, three hundred forty-four".