Base | Representation |
---|---|
bin | 111100000001111… |
… | …110110010111001 |
3 | 2121012010122020112 |
4 | 330001332302321 |
5 | 4030312333223 |
6 | 243534434105 |
7 | 33646440056 |
oct | 7401766271 |
9 | 2535118215 |
10 | 1007152313 |
11 | 477569492 |
12 | 241362935 |
13 | 13087281b |
14 | 97a9002d |
15 | 5d645778 |
hex | 3c07ecb9 |
1007152313 has 4 divisors (see below), whose sum is σ = 1050941568. Its totient is φ = 963363060.
The previous prime is 1007152303. The next prime is 1007152327. The reversal of 1007152313 is 3132517001.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3132517001 = 8353 ⋅375017.
It is a cyclic number.
It is not a de Polignac number, because 1007152313 - 212 = 1007148217 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 43789231 = 1007152313 / (1 + 0 + 0 + 7 + 1 + 5 + 2 + 3 + 1 + 3).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1007152303) 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 3 ways as a sum of consecutive naturals, for example, 21894593 + ... + 21894638.
It is an arithmetic number, because the mean of its divisors is an integer number (262735392).
Almost surely, 21007152313 is an apocalyptic number.
It is an amenable number.
1007152313 is a deficient number, since it is larger than the sum of its proper divisors (43789255).
1007152313 is an equidigital number, since it uses as much as digits as its factorization.
1007152313 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43789254.
The product of its (nonzero) digits is 630, while the sum is 23.
The square root of 1007152313 is about 31735.6631095051. The cubic root of 1007152313 is about 1002.3784428580.
Adding to 1007152313 its reverse (3132517001), we get a palindrome (4139669314).
The spelling of 1007152313 in words is "one billion, seven million, one hundred fifty-two thousand, three hundred thirteen".
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