| Base | Representation |
|---|---|
| bin | 10011000111000010001… |
| … | …100111111010000010000 |
| 3 | 11122112122210011010020200 |
| 4 | 103013002030333100100 |
| 5 | 133003440120210000 |
| 6 | 2443141510535200 |
| 7 | 163606616052132 |
| oct | 23070214772020 |
| 9 | 4575583133220 |
| 10 | 1313223210000 |
| 11 | 466a312a2619 |
| 12 | 192617967500 |
| 13 | 96ab47bb960 |
| 14 | 477bb819052 |
| 15 | 2425ec68500 |
| hex | 131c233f410 |
1313223210000 has 600 divisors, whose sum is σ = 4995220686456. Its totient is φ = 320025600000.
The previous prime is 1313223209999. The next prime is 1313223210001. The reversal of 1313223210000 is 123223131.
1313223210000 is a `hidden beast` number, since 131 + 322 + 3 + 210 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1313223209999) and next prime (1313223210001).
It can be written as a sum of positive squares in 20 ways, for example, as 1282909614336 + 30313595664 = 1132656^2 + 174108^2 .
It is a tau number, because it is divible by the number of its divisors (600).
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 (1313223210001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 118164444 + ... + 118175556.
Almost surely, 21313223210000 is an apocalyptic number.
1313223210000 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 1313223210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497610343228).
1313223210000 is an abundant number, since it is smaller than the sum of its proper divisors (3681997476456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1313223210000 is a wasteful number, since it uses less digits than its factorization.
1313223210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11261 (or 11237 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 1313223210000 its reverse (123223131), we get a palindrome (1313346433131).
The spelling of 1313223210000 in words is "one trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred ten thousand".
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