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113113200000 = 2735594261
BaseRepresentation
bin110100101011000010…
…0100111010110000000
3101210222001102220220210
41221112010213112000
53323123434400000
6123544040234120
711113023223203
oct1512604472600
9353861386823
10113113200000
1143a754a8379
1219b0946b940
13a888497198
14569085593a
152e2059c350
hex1a56127580

113113200000 has 192 divisors, whose sum is σ = 375551119440. Its totient is φ = 30163200000.

The previous prime is 113113199987. The next prime is 113113200007. The reversal of 113113200000 is 2311311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152870 + ... + 1247130.

Almost surely, 2113113200000 is an apocalyptic number.

113113200000 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 113113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187775559720).

113113200000 is an abundant number, since it is smaller than the sum of its proper divisors (262437919440).

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

113113200000 is an frugal number, since it uses more digits than its factorization.

113113200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94303 (or 94271 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 113113200000 its reverse (2311311), we get a palindrome (113115511311).

The spelling of 113113200000 in words is "one hundred thirteen billion, one hundred thirteen million, two hundred thousand".