| Base | Representation |
|---|---|
| bin | 11101110100000100000011… |
| … | …110101110101010011100000 |
| 3 | 122012021001112101000012111002 |
| 4 | 131310010003311311103200 |
| 5 | 114141242023440220300 |
| 6 | 1142512113400211132 |
| 7 | 36422121420156230 |
| oct | 3564040365652340 |
| 9 | 565231471005432 |
| 10 | 131121121023200 |
| 11 | 388631785515a0 |
| 12 | 1285819a169aa8 |
| 13 | 5821890069b09 |
| 14 | 245442079dcc0 |
| 15 | 1025b644005d5 |
| hex | 774103d754e0 |
131121121023200 has 1152 divisors, whose sum is σ = 433056602603520. Its totient is φ = 37538303385600.
The previous prime is 131121121023173. The next prime is 131121121023209. The reversal of 131121121023200 is 2320121121131.
It is a super-3 number, since 3×1311211210232003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131121121023209) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5885930462 + ... + 5885952738.
It is an arithmetic number, because the mean of its divisors is an integer number (375917189760).
Almost surely, 2131121121023200 is an apocalyptic number.
131121121023200 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 131121121023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216528301301760).
131121121023200 is an abundant number, since it is smaller than the sum of its proper divisors (301935481580320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131121121023200 is a wasteful number, since it uses less digits than its factorization.
131121121023200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22488 (or 22475 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 20.
Adding to 131121121023200 its reverse (2320121121131), we get a palindrome (133441242144331).
The spelling of 131121121023200 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-three thousand, two hundred".
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