Base | Representation |
---|---|
bin | 111101001001101100… |
… | …1101011001010000000 |
3 | 110112222001111210200210 |
4 | 1322103121223022000 |
5 | 4122421413000000 |
6 | 140154542114120 |
7 | 12326165403522 |
oct | 1722331531200 |
9 | 415861453623 |
10 | 131322000000 |
11 | 50769933314 |
12 | 2154b57b940 |
13 | c4caa43359 |
14 | 64dacb5a12 |
15 | 3638e4c350 |
hex | 1e9366b280 |
131322000000 has 448 divisors, whose sum is σ = 447041152800. Its totient is φ = 34137600000.
The previous prime is 131321999999. The next prime is 131322000001. The reversal of 131322000000 is 223131.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (131321999999) and next prime (131322000001).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 131322000000.
It is not an unprimeable number, because it can be changed into a prime (131322000001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 257999746 + ... + 258000254.
Almost surely, 2131322000000 is an apocalyptic number.
131322000000 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 131322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223520576400).
131322000000 is an abundant number, since it is smaller than the sum of its proper divisors (315719152800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131322000000 is an frugal number, since it uses more digits than its factorization.
131322000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 599 (or 562 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 131322000000 its reverse (223131), we get a palindrome (131322223131).
The spelling of 131322000000 in words is "one hundred thirty-one billion, three hundred twenty-two million", and thus it is an aban number.
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