Base | Representation |
---|---|
bin | 11101110001101100101… |
… | …11110000010100010011 |
3 | 10121210211121021021122200 |
4 | 32320312113300110103 |
5 | 113230314242211311 |
6 | 2102002352334243 |
7 | 133626505011123 |
oct | 16706627602423 |
9 | 3553747237580 |
10 | 1023114413331 |
11 | 36499a46082a |
12 | 146352b44383 |
13 | 7562cc76aaa |
14 | 3773a1d8c83 |
15 | 1b930b26556 |
hex | ee365f0513 |
1023114413331 has 48 divisors (see below), whose sum is σ = 1520106891264. Its totient is φ = 662789411712.
The previous prime is 1023114413267. The next prime is 1023114413333. The reversal of 1023114413331 is 1333144113201.
1023114413331 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 4 + 4 + 13 + 331 = 666.
It is not a de Polignac number, because 1023114413331 - 26 = 1023114413267 is a prime.
It is a super-2 number, since 2×10231144133312 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1023114413295 and 1023114413304.
It is not an unprimeable number, because it can be changed into a prime (1023114413333) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35225191 + ... + 35254223.
It is an arithmetic number, because the mean of its divisors is an integer number (31668893568).
Almost surely, 21023114413331 is an apocalyptic number.
1023114413331 is a deficient number, since it is larger than the sum of its proper divisors (496992477933).
1023114413331 is a wasteful number, since it uses less digits than its factorization.
1023114413331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29680 (or 29677 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 1023114413331 its reverse (1333144113201), we get a palindrome (2356258526532).
The spelling of 1023114413331 in words is "one trillion, twenty-three billion, one hundred fourteen million, four hundred thirteen thousand, three hundred thirty-one".
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