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413041231031 = 11136761370327
BaseRepresentation
bin1100000001010110010…
…11010000010010110111
31110111010112221112210112
412000223023100102313
523231402023343111
6513425403013235
741561355351512
oct6005313202267
91414115845715
10413041231031
1114a196009290
126807280a21b
132cc46417cb0
1415dc41c1d79
15ab26791e8b
hex602b2d04b7

413041231031 has 32 divisors (see below), whose sum is σ = 493304222208. Its totient is φ = 340872935040.

The previous prime is 413041231013. The next prime is 413041231033. The reversal of 413041231031 is 130132140314.

It is not a de Polignac number, because 413041231031 - 26 = 413041230967 is a prime.

It is a super-2 number, since 2×4130412310312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413041230988 and 413041231006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413041231033) 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 31 ways as a sum of consecutive naturals, for example, 5837990 + ... + 5908316.

It is an arithmetic number, because the mean of its divisors is an integer number (15415756944).

Almost surely, 2413041231031 is an apocalyptic number.

413041231031 is a deficient number, since it is larger than the sum of its proper divisors (80262991177).

413041231031 is a wasteful number, since it uses less digits than its factorization.

413041231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71031.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 413041231031 its reverse (130132140314), we get a palindrome (543173371345).

The spelling of 413041231031 in words is "four hundred thirteen billion, forty-one million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 11 13 67 143 613 737 871 6743 7969 9581 41071 70327 87659 451781 533923 773597 914251 4711909 5873153 10056761 43110451 51830999 61254817 474214961 560435863 673802987 2888400217 6164794493 31772402387 37549202821 413041231031