Base | Representation |
---|---|
bin | 1101011111110… |
… | …10000111010100 |
3 | 21220001021112010 |
4 | 12233322013110 |
5 | 212441101400 |
6 | 15122424220 |
7 | 2543241405 |
oct | 657720724 |
9 | 256037463 |
10 | 113222100 |
11 | 58a02492 |
12 | 31b02070 |
13 | 1a5c2b34 |
14 | 110739ac |
15 | 9e17450 |
hex | 6bfa1d4 |
113222100 has 144 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 28300800.
The previous prime is 113222093. The next prime is 113222101. The reversal of 113222100 is 1222311.
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 (113222101) 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, 420766 + ... + 421034.
It is an arithmetic number, because the mean of its divisors is an integer number (2421720).
Almost surely, 2113222100 is an apocalyptic number.
113222100 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 113222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).
113222100 is an abundant number, since it is smaller than the sum of its proper divisors (235505580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113222100 is a wasteful number, since it uses less digits than its factorization.
113222100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 370 (or 363 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 113222100 is about 10640.5873898014. The cubic root of 113222100 is about 483.7753493784.
Adding to 113222100 its reverse (1222311), we get a palindrome (114444411).
It can be divided in two parts, 1132 and 22100, that added together give a palindrome (23232).
The spelling of 113222100 in words is "one hundred thirteen million, two hundred twenty-two thousand, one hundred".
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