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113122200000 = 26355199923
BaseRepresentation
bin110100101011010011…
…0111100100111000000
3101210222200101011121010
41221112212330213000
53323133240400000
6123545001200520
711113162556235
oct1512646744700
9353880334533
10113122200000
1143a7a595197
1219b10490140
13a88a2c8824
145691b1978c
152e21278d50
hex1a569bc9c0

113122200000 has 336 divisors, whose sum is σ = 393833543040. Its totient is φ = 28575360000.

The previous prime is 113122199963. The next prime is 113122200007. The reversal of 113122200000 is 2221311.

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 (113122200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11395039 + ... + 11404961.

It is an arithmetic number, because the mean of its divisors is an integer number (1172123640).

Almost surely, 2113122200000 is an apocalyptic number.

113122200000 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 113122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196916771520).

113122200000 is an abundant number, since it is smaller than the sum of its proper divisors (280711343040).

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

113122200000 is an frugal number, since it uses more digits than its factorization.

113122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 113122200000 its reverse (2221311), we get a palindrome (113124421311).

The spelling of 113122200000 in words is "one hundred thirteen billion, one hundred twenty-two million, two hundred thousand".