| Base | Representation |
|---|---|
| bin | 11101110101100001000101… |
| … | …001101111100110011001000 |
| 3 | 122012121121100020220020111200 |
| 4 | 131311201011031330303020 |
| 5 | 114144411103020042300 |
| 6 | 1143030032434424200 |
| 7 | 36432255521340360 |
| oct | 3565410515746310 |
| 9 | 565547306806450 |
| 10 | 131221002112200 |
| 11 | 388a157284a040 |
| 12 | 12873614132060 |
| 13 | 582b11a044200 |
| 14 | 24591b7b099a0 |
| 15 | 102855ce9c200 |
| hex | 77584537ccc8 |
131221002112200 has 6912 divisors, whose sum is σ = 662475113164800. Its totient is φ = 22516907212800.
The previous prime is 131221002112169. The next prime is 131221002112201. The reversal of 131221002112200 is 2211200122131.
131221002112200 is a `hidden beast` number, since 1 + 31 + 221 + 0 + 0 + 211 + 2 + 200 = 666.
131221002112200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1312210021122002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (131221002112201) by changing a digit.
It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 578066088487 + ... + 578066088713.
It is an arithmetic number, because the mean of its divisors is an integer number (95844200400).
Almost surely, 2131221002112200 is an apocalyptic number.
131221002112200 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 131221002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331237556582400).
131221002112200 is an abundant number, since it is smaller than the sum of its proper divisors (531254111052600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131221002112200 is a wasteful number, since it uses less digits than its factorization.
131221002112200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 382 (or 357 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 131221002112200 its reverse (2211200122131), we get a palindrome (133432202234331).
The spelling of 131221002112200 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two million, one hundred twelve thousand, two hundred".
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