Base | Representation |
---|---|
bin | 111101000100000100… |
… | …1000101000100100000 |
3 | 110112110220001201001100 |
4 | 1322020021011010200 |
5 | 4122030033202240 |
6 | 140124113234400 |
7 | 12321412650555 |
oct | 1721011050440 |
9 | 415426051040 |
10 | 131133100320 |
11 | 50682242182 |
12 | 214b8262a00 |
13 | c49a8746b1 |
14 | 64bdb82a2c |
15 | 3627586e30 |
hex | 1e88245120 |
131133100320 has 288 divisors, whose sum is σ = 462200265072. Its totient is φ = 33837613056.
The previous prime is 131133100291. The next prime is 131133100321. The reversal of 131133100320 is 23001331131.
It is a happy number.
131133100320 is a `hidden beast` number, since 1 + 3 + 11 + 331 + 0 + 0 + 320 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 64116316944 + 67016783376 = 253212^2 + 258876^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 131133100293 and 131133100302.
It is not an unprimeable number, because it can be changed into a prime (131133100321) 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, 5559592 + ... + 5583128.
Almost surely, 2131133100320 is an apocalyptic number.
131133100320 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 131133100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231100132536).
131133100320 is an abundant number, since it is smaller than the sum of its proper divisors (331067164752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131133100320 is a wasteful number, since it uses less digits than its factorization.
131133100320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23684 (or 23673 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 131133100320 its reverse (23001331131), we get a palindrome (154134431451).
The spelling of 131133100320 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thousand, three hundred twenty".
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