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113341310040 = 233572131269547
BaseRepresentation
bin110100110001110101…
…0110010010001011000
3101211112221200010001210
41221203222302101120
53324110333410130
6124022425343120
711121463145100
oct1514352622130
9354487603053
10113341310040
114408223a872
1219b71937aa0
13a8c381413a
1456b2c74200
152e3560a5b0
hex1a63ab2458

113341310040 has 384 divisors, whose sum is σ = 400770374400. Its totient is φ = 25566428160.

The previous prime is 113341310039. The next prime is 113341310051. The reversal of 113341310040 is 40013143311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113341309989 and 113341310016.

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 95 ways as a sum of consecutive naturals, for example, 207205047 + ... + 207205593.

It is an arithmetic number, because the mean of its divisors is an integer number (1043672850).

Almost surely, 2113341310040 is an apocalyptic number.

113341310040 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 113341310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200385187200).

113341310040 is an abundant number, since it is smaller than the sum of its proper divisors (287429064360).

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

113341310040 is a wasteful number, since it uses less digits than its factorization.

113341310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113341310040 its reverse (40013143311), we get a palindrome (153354453351).

The spelling of 113341310040 in words is "one hundred thirteen billion, three hundred forty-one million, three hundred ten thousand, forty".