Base | Representation |
---|---|
bin | 10111110101111… |
… | …011011100111001 |
3 | 1000212200202211111 |
4 | 113311323130321 |
5 | 1304400404423 |
6 | 103405400321 |
7 | 12625024663 |
oct | 2765733471 |
9 | 1025622744 |
10 | 400013113 |
11 | 195884855 |
12 | b1b690a1 |
13 | 64b47566 |
14 | 3b1a9533 |
15 | 251b760d |
hex | 17d7b739 |
400013113 has 2 divisors, whose sum is σ = 400013114. Its totient is φ = 400013112.
The previous prime is 400013083. The next prime is 400013123. The reversal of 400013113 is 311310004.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 320660649 + 79352464 = 17907^2 + 8908^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-400013113 is a prime.
It is a super-3 number, since 3×4000131133 (a number of 27 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 400013093 and 400013102.
It is not a weakly prime, because it can be changed into another prime (400013123) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200006556 + 200006557.
It is an arithmetic number, because the mean of its divisors is an integer number (200006557).
Almost surely, 2400013113 is an apocalyptic number.
It is an amenable number.
400013113 is a deficient number, since it is larger than the sum of its proper divisors (1).
400013113 is an equidigital number, since it uses as much as digits as its factorization.
400013113 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 400013113 is about 20000.3278223133. The cubic root of 400013113 is about 736.8143510909.
Adding to 400013113 its reverse (311310004), we get a palindrome (711323117).
The spelling of 400013113 in words is "four hundred million, thirteen thousand, one hundred thirteen".
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