Base | Representation |
---|---|
bin | 10011010111110011000… |
… | …101001111000010001000 |
3 | 11201021010020011210212120 |
4 | 103113303011033002020 |
5 | 133302321110131443 |
6 | 2455315551411240 |
7 | 165114643622544 |
oct | 23276305170210 |
9 | 4637106153776 |
10 | 1331223130248 |
11 | 473628830070 |
12 | 195bbbb23b20 |
13 | 986c29c1b3b |
14 | 48608224a24 |
15 | 24965108083 |
hex | 135f314f088 |
1331223130248 has 128 divisors (see below), whose sum is σ = 3685960650240. Its totient is φ = 397254528000.
The previous prime is 1331223130241. The next prime is 1331223130273. The reversal of 1331223130248 is 8420313221331.
It is a super-3 number, since 3×13312231302483 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is not an unprimeable number, because it can be changed into a prime (1331223130241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66514563 + ... + 66534573.
It is an arithmetic number, because the mean of its divisors is an integer number (28796567580).
Almost surely, 21331223130248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1331223130248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842980325120).
1331223130248 is an abundant number, since it is smaller than the sum of its proper divisors (2354737519992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331223130248 is a wasteful number, since it uses less digits than its factorization.
1331223130248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23859 (or 23855 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 33.
Adding to 1331223130248 its reverse (8420313221331), we get a palindrome (9751536351579).
The spelling of 1331223130248 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty thousand, two hundred forty-eight".
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