Base | Representation |
---|---|
bin | 111101000110101100… |
… | …0110100010110101000 |
3 | 110112201000200011200210 |
4 | 1322031120310112220 |
5 | 4122220101042412 |
6 | 140140535501120 |
7 | 12323532023220 |
oct | 1721530642650 |
9 | 415630604623 |
10 | 131221112232 |
11 | 507179958a1 |
12 | 215218277a0 |
13 | c4b2b7b752 |
14 | 64cb733080 |
15 | 363016e83c |
hex | 1e8d6345a8 |
131221112232 has 256 divisors, whose sum is σ = 402361344000. Its totient is φ = 34827639552.
The previous prime is 131221112161. The next prime is 131221112237. The reversal of 131221112232 is 232211122131.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 131221112199 and 131221112208.
It is not an unprimeable number, because it can be changed into a prime (131221112237) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110547943 + ... + 110549129.
It is an arithmetic number, because the mean of its divisors is an integer number (1571724000).
Almost surely, 2131221112232 is an apocalyptic number.
131221112232 is a gapful number since it is divisible by the number (12) 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 131221112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672000).
131221112232 is an abundant number, since it is smaller than the sum of its proper divisors (271140231768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131221112232 is a wasteful number, since it uses less digits than its factorization.
131221112232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1868 (or 1864 counting only the distinct ones).
The product of its digits is 288, while the sum is 21.
Adding to 131221112232 its reverse (232211122131), we get a palindrome (363432234363).
The spelling of 131221112232 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred thirty-two".
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