| Base | Representation |
|---|---|
| bin | 11101110010100111110000… |
| … | …011111110000001001100000 |
| 3 | 122011220120201022022100102021 |
| 4 | 131302213300133300021200 |
| 5 | 114133131040112020000 |
| 6 | 1142354403110431224 |
| 7 | 36412012414223146 |
| oct | 3562476037601140 |
| 9 | 564816638270367 |
| 10 | 131022012220000 |
| 11 | 3882513a185880 |
| 12 | 12840b3a962514 |
| 13 | 5815427090b75 |
| 14 | 244d6dbc47596 |
| 15 | 10232b355411a |
| hex | 7729f07f0260 |
131022012220000 has 480 divisors, whose sum is σ = 378752601870720. Its totient is φ = 44087016960000.
The previous prime is 131022012219979. The next prime is 131022012220009. The reversal of 131022012220000 is 22210220131.
It is a happy number.
It is a super-3 number, since 3×1310220122200003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131022012220009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179375524 + ... + 180104476.
It is an arithmetic number, because the mean of its divisors is an integer number (789067920564).
Almost surely, 2131022012220000 is an apocalyptic number.
131022012220000 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 131022012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189376300935360).
131022012220000 is an abundant number, since it is smaller than the sum of its proper divisors (247730589650720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131022012220000 is a wasteful number, since it uses less digits than its factorization.
131022012220000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 729056 (or 729033 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 131022012220000 its reverse (22210220131), we get a palindrome (131044222440131).
The spelling of 131022012220000 in words is "one hundred thirty-one trillion, twenty-two billion, twelve million, two hundred twenty thousand".
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