Base | Representation |
---|---|
bin | 10000010110010000101… |
… | …001010110101001000000 |
3 | 10222101201121011210002012 |
4 | 100112100221112221000 |
5 | 121401222241132000 |
6 | 2220031112112052 |
7 | 144110140563554 |
oct | 20262051265100 |
9 | 3871647153065 |
10 | 1123413224000 |
11 | 3a34895287a1 |
12 | 161884995628 |
13 | 81c25658b82 |
14 | 3c532bdd864 |
15 | 1e3511d7735 |
hex | 10590a56a40 |
1123413224000 has 112 divisors (see below), whose sum is σ = 2786683566576. Its totient is φ = 448630272000.
The previous prime is 1123413223981. The next prime is 1123413224009. The reversal of 1123413224000 is 4223143211.
It can be written as a sum of positive squares in 8 ways, for example, as 998272746496 + 125140477504 = 999136^2 + 353752^2 .
It is not an unprimeable number, because it can be changed into a prime (1123413224009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789460 + ... + 5018540.
It is an arithmetic number, because the mean of its divisors is an integer number (24881103273).
Almost surely, 21123413224000 is an apocalyptic number.
1123413224000 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 1123413224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393341783288).
1123413224000 is an abundant number, since it is smaller than the sum of its proper divisors (1663270342576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1123413224000 is an equidigital number, since it uses as much as digits as its factorization.
1123413224000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229721 (or 229701 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
Adding to 1123413224000 its reverse (4223143211), we get a palindrome (1127636367211).
The spelling of 1123413224000 in words is "one trillion, one hundred twenty-three billion, four hundred thirteen million, two hundred twenty-four thousand".
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