Base | Representation |
---|---|
bin | 10011001111100011… |
… | …01000110011001010 |
3 | 222122222121011210000 |
4 | 21213301220303022 |
5 | 132124214000020 |
6 | 4425045103430 |
7 | 514004023362 |
oct | 114761506312 |
9 | 28588534700 |
10 | 10331000010 |
11 | 4421642241 |
12 | 20039b7b76 |
13 | c88450476 |
14 | 7000c59a2 |
15 | 406e92090 |
hex | 267c68cca |
10331000010 has 160 divisors (see below), whose sum is σ = 28887388992. Its totient is φ = 2647054080.
The previous prime is 10331000003. The next prime is 10331000059. The reversal of 10331000010 is 1000013301.
10331000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×103310000102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10330999956 and 10331000001.
It is an unprimeable number.
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 79 ways as a sum of consecutive naturals, for example, 2222749 + ... + 2227391.
Almost surely, 210331000010 is an apocalyptic number.
10331000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10331000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443694496).
10331000010 is an abundant number, since it is smaller than the sum of its proper divisors (18556388982).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10331000010 is a wasteful number, since it uses less digits than its factorization.
10331000010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4770 (or 4761 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
Adding to 10331000010 its reverse (1000013301), we get a palindrome (11331013311).
The spelling of 10331000010 in words is "ten billion, three hundred thirty-one million, ten", and thus it is an aban number.
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