| Base | Representation |
|---|---|
| bin | 11101111000101101010101… |
| … | …000011011011110000111000 |
| 3 | 122020101120102021111022021020 |
| 4 | 131320231111003123300320 |
| 5 | 114212004224121414000 |
| 6 | 1143314502331542440 |
| 7 | 36454151304226455 |
| oct | 3570552503336070 |
| 9 | 566346367438236 |
| 10 | 131440311123000 |
| 11 | 38976582a94900 |
| 12 | 128aa01a2baa20 |
| 13 | 58459ca835159 |
| 14 | 2465a6040282c |
| 15 | 102e0e6699ba0 |
| hex | 778b550dbc38 |
131440311123000 has 384 divisors, whose sum is σ = 451730043797760. Its totient is φ = 31796044896000.
The previous prime is 131440311122999. The next prime is 131440311123013. The reversal of 131440311123000 is 321113044131.
It is a happy number.
131440311123000 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 2×1314403111230002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169133319 + ... + 169908681.
It is an arithmetic number, because the mean of its divisors is an integer number (1176380322390).
Almost surely, 2131440311123000 is an apocalyptic number.
131440311123000 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 131440311123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225865021898880).
131440311123000 is an abundant number, since it is smaller than the sum of its proper divisors (320289732674760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131440311123000 is a wasteful number, since it uses less digits than its factorization.
131440311123000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 775876 (or 775851 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
Adding to 131440311123000 its reverse (321113044131), we get a palindrome (131761424167131).
The spelling of 131440311123000 in words is "one hundred thirty-one trillion, four hundred forty billion, three hundred eleven million, one hundred twenty-three thousand".
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