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113224442240 = 27571316311927
BaseRepresentation
bin110100101110010110…
…0111110000110000000
3101211020210202121120202
41221130230332012000
53323340424122430
6124003052424332
711115543610460
oct1513454760600
9354223677522
10113224442240
1144022278308
1219b3a7780a8
13a8a5545ab0
1456a1531ba0
152e2a222d45
hex1a5cb3e180

113224442240 has 256 divisors, whose sum is σ = 335213061120. Its totient is φ = 35610845184.

The previous prime is 113224442239. The next prime is 113224442263. The reversal of 113224442240 is 42244422311.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 9487157 + ... + 9499083.

It is an arithmetic number, because the mean of its divisors is an integer number (1309426020).

Almost surely, 2113224442240 is an apocalyptic number.

113224442240 is a gapful number since it is divisible by the number (10) 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 113224442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167606530560).

113224442240 is an abundant number, since it is smaller than the sum of its proper divisors (221988618880).

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

113224442240 is a wasteful number, since it uses less digits than its factorization.

113224442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 113224442240 its reverse (42244422311), we get a palindrome (155468864551).

The spelling of 113224442240 in words is "one hundred thirteen billion, two hundred twenty-four million, four hundred forty-two thousand, two hundred forty".