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113322000 = 243531117101
BaseRepresentation
bin1101100000100…
…10100000010000
321220020100120010
412300102200100
5213002301000
615124514520
72544135561
oct660224020
9256210503
10113322000
1158a70550
1231b4ba40
131a62944c
141109c168
159e36d50
hex6c12810

113322000 has 320 divisors, whose sum is σ = 426187008. Its totient is φ = 25600000.

The previous prime is 113321993. The next prime is 113322031. The reversal of 113322000 is 223311.

It is a happy number.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121950 + ... + 1122050.

Almost surely, 2113322000 is an apocalyptic number.

113322000 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 113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213093504).

113322000 is an abundant number, since it is smaller than the sum of its proper divisors (312865008).

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

113322000 is a wasteful number, since it uses less digits than its factorization.

113322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113322000 is about 10645.2806444922. The cubic root of 113322000 is about 483.9175917797.

Adding to 113322000 its reverse (223311), we get a palindrome (113545311).

The spelling of 113322000 in words is "one hundred thirteen million, three hundred twenty-two thousand".