Base | Representation |
---|---|
bin | 11101110110111111010111… |
… | …101011010001011000000000 |
3 | 122012222021122221110122010001 |
4 | 131312333113223101120000 |
5 | 114203040423320120000 |
6 | 1143144334505245344 |
7 | 36442501421164531 |
oct | 3566772753213000 |
9 | 565867587418101 |
10 | 131322243520000 |
11 | 389304a59a31a5 |
12 | 1288b169793854 |
13 | 5837832ab5680 |
14 | 246005d998688 |
15 | 102aed61a146a |
hex | 776fd7ad1600 |
131322243520000 has 800 divisors, whose sum is σ = 358812365788800. Its totient is φ = 47708504064000.
The previous prime is 131322243519977. The next prime is 131322243520123. The reversal of 131322243520000 is 25342223131.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (800).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134413759512 + ... + 134413760488.
It is an arithmetic number, because the mean of its divisors is an integer number (448515457236).
Almost surely, 2131322243520000 is an apocalyptic number.
131322243520000 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 131322243520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179406182894400).
131322243520000 is an abundant number, since it is smaller than the sum of its proper divisors (227490122268800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131322243520000 is an frugal number, since it uses more digits than its factorization.
131322243520000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1516 (or 1485 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 28.
Adding to 131322243520000 its reverse (25342223131), we get a palindrome (131347585743131).
The spelling of 131322243520000 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, two hundred forty-three million, five hundred twenty thousand".
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