| Base | Representation |
|---|---|
| bin | 111101000000001100… |
| … | …1111110100001011100 |
| 3 | 110112010211211210020200 |
| 4 | 1322000121332201130 |
| 5 | 4121243321442340 |
| 6 | 140103155343500 |
| 7 | 12315245531604 |
| oct | 1720031764134 |
| 9 | 415124753220 |
| 10 | 131003312220 |
| 11 | 50615a55490 |
| 12 | 214808b1b90 |
| 13 | c479a014c1 |
| 14 | 64aa839c04 |
| 15 | 361ae9b330 |
| hex | 1e8067e85c |
131003312220 has 288 divisors, whose sum is σ = 446701784256. Its totient is φ = 30797107200.
The previous prime is 131003312189. The next prime is 131003312221. The reversal of 131003312220 is 22213300131.
131003312220 is a `hidden beast` number, since 1 + 310 + 0 + 331 + 2 + 2 + 20 = 666.
It is a super-2 number, since 2×1310033122202 (a number of 23 digits) contains 22 as substring.
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 = 131003312193 and 131003312202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131003312221) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23220600 + ... + 23226240.
It is an arithmetic number, because the mean of its divisors is an integer number (1551047862).
Almost surely, 2131003312220 is an apocalyptic number.
131003312220 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 131003312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223350892128).
131003312220 is an abundant number, since it is smaller than the sum of its proper divisors (315698472036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131003312220 is a wasteful number, since it uses less digits than its factorization.
131003312220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6021 (or 6016 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 131003312220 its reverse (22213300131), we get a palindrome (153216612351).
The spelling of 131003312220 in words is "one hundred thirty-one billion, three million, three hundred twelve thousand, two hundred twenty".
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