Base | Representation |
---|---|
bin | 10011000100101111… |
… | …01100011100001101 |
3 | 222102122221210201121 |
4 | 21202113230130031 |
5 | 131433010004401 |
6 | 4412045240541 |
7 | 511523140144 |
oct | 114227543415 |
9 | 28378853647 |
10 | 10240313101 |
11 | 4385431887 |
12 | 1b99563151 |
13 | c7271a985 |
14 | 6d203a75b |
15 | 3ee02bca1 |
hex | 2625ec70d |
10240313101 has 8 divisors (see below), whose sum is σ = 10261063800. Its totient is φ = 10219584000.
The previous prime is 10240313089. The next prime is 10240313113. The reversal of 10240313101 is 10131304201.
10240313101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10240313089) and next prime (10240313113).
It can be written as a sum of positive squares in 4 ways, for example, as 445252201 + 9795060900 = 21101^2 + 98970^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-10240313101 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10240316101) 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 7 ways as a sum of consecutive naturals, for example, 1200351 + ... + 1208851.
It is an arithmetic number, because the mean of its divisors is an integer number (1282632975).
Almost surely, 210240313101 is an apocalyptic number.
It is an amenable number.
10240313101 is a deficient number, since it is larger than the sum of its proper divisors (20750699).
10240313101 is an equidigital number, since it uses as much as digits as its factorization.
10240313101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10799.
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 10240313101 its reverse (10131304201), we get a palindrome (20371617302).
The spelling of 10240313101 in words is "ten billion, two hundred forty million, three hundred thirteen thousand, one hundred one".
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