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10041031 = 7211131433
BaseRepresentation
bin100110010011…
…011011000111
3200220010201001
4212103123013
510032303111
6555114131
7151230100
oct46233307
920803631
1010041031
115738a80
123442947
132107450
1414953a7
15d351c1
hex9936c7

10041031 has 24 divisors (see below), whose sum is σ = 13731984. Its totient is φ = 7217280.

The previous prime is 10041029. The next prime is 10041071. The reversal of 10041031 is 13014001.

It is a happy number.

It is not a de Polignac number, because 10041031 - 21 = 10041029 is a prime.

It is a super-2 number, since 2×100410312 = 201644607085922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10040999 and 10041017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6291 + ... + 7723.

It is an arithmetic number, because the mean of its divisors is an integer number (572166).

Almost surely, 210041031 is an apocalyptic number.

10041031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10041031 is a deficient number, since it is larger than the sum of its proper divisors (3690953).

10041031 is a wasteful number, since it uses less digits than its factorization.

10041031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10041031 is about 3168.7585897319. The cubic root of 10041031 is about 215.7377289426.

Adding to 10041031 its reverse (13014001), we get a palindrome (23055032).

The spelling of 10041031 in words is "ten million, forty-one thousand, thirty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 1433 7007 10031 15763 18629 70217 110341 130403 204919 772387 912821 1434433 10041031