Base | Representation |
---|---|
bin | 10011000001100001… |
… | …01110110100101111 |
3 | 222100210011111221100 |
4 | 21200300232310233 |
5 | 131404102301111 |
6 | 4405242534143 |
7 | 511044543033 |
oct | 114060566457 |
9 | 28323144840 |
10 | 10213322031 |
11 | 4371177010 |
12 | 1b90507353 |
13 | c69c5a423 |
14 | 6cc6121c3 |
15 | 3eb999756 |
hex | 260c2ed2f |
10213322031 has 96 divisors (see below), whose sum is σ = 17129908224. Its totient is φ = 5806080000.
The previous prime is 10213322011. The next prime is 10213322057. The reversal of 10213322031 is 13022331201.
10213322031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10213322031 - 26 = 10213321967 is a prime.
It is a super-2 number, since 2×102133220312 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10213321995 and 10213322013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10213322011) 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 95 ways as a sum of consecutive naturals, for example, 25469431 + ... + 25469831.
It is an arithmetic number, because the mean of its divisors is an integer number (178436544).
Almost surely, 210213322031 is an apocalyptic number.
10213322031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
10213322031 is a deficient number, since it is larger than the sum of its proper divisors (6916586193).
10213322031 is a wasteful number, since it uses less digits than its factorization.
10213322031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 685 (or 682 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10213322031 its reverse (13022331201), we get a palindrome (23235653232).
The spelling of 10213322031 in words is "ten billion, two hundred thirteen million, three hundred twenty-two thousand, thirty-one".
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