Base | Representation |
---|---|
bin | 11101001000101000111… |
… | …001110011101010011001 |
3 | 21002101212122112001010000 |
4 | 131020220321303222121 |
5 | 230300341044034033 |
6 | 4131434302043213 |
7 | 264435630503400 |
oct | 35105071635231 |
9 | 7071778461100 |
10 | 2002141002393 |
11 | 702115444654 |
12 | 284040b79509 |
13 | 116a54caa0ac |
14 | 6cc92d70637 |
15 | 37130e43a13 |
hex | 1d228e73a99 |
2002141002393 has 120 divisors (see below), whose sum is σ = 3520395707400. Its totient is φ = 1130575283712.
The previous prime is 2002141002287. The next prime is 2002141002473. The reversal of 2002141002393 is 3932001412002.
It is a happy number.
2002141002393 is a `hidden beast` number, since 200 + 21 + 410 + 0 + 23 + 9 + 3 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 852534595584 + 1149606406809 = 923328^2 + 1072197^2 .
It is not a de Polignac number, because 2002141002393 - 225 = 2002107447961 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (2002141007393) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 168283621 + ... + 168295517.
It is an arithmetic number, because the mean of its divisors is an integer number (29336630895).
Almost surely, 22002141002393 is an apocalyptic number.
It is an amenable number.
2002141002393 is a deficient number, since it is larger than the sum of its proper divisors (1518254705007).
2002141002393 is a wasteful number, since it uses less digits than its factorization.
2002141002393 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12421 (or 12405 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 2002141002393 its reverse (3932001412002), we get a palindrome (5934142414395).
The spelling of 2002141002393 in words is "two trillion, two billion, one hundred forty-one million, two thousand, three hundred ninety-three".
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