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10441110031 = 1117313748679
BaseRepresentation
bin10011011100101011…
…01011001000001111
3222221122210100022221
421232111223020033
5132340411010111
64444021120211
7516511654012
oct115625531017
928848710287
1010441110031
114478809560
122034859067
13ca51c3921
14710989379
15411992371
hex26e56b20f

10441110031 has 32 divisors (see below), whose sum is σ = 12786094080. Its totient is φ = 8411558400.

The previous prime is 10441110013. The next prime is 10441110041. The reversal of 10441110031 is 13001114401.

It is a cyclic number.

It is not a de Polignac number, because 10441110031 - 211 = 10441107983 is a prime.

It is a super-2 number, since 2×104411100312 (a number of 21 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 = 10441109987 and 10441110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441110041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190150 + ... + 238828.

It is an arithmetic number, because the mean of its divisors is an integer number (399565440).

Almost surely, 210441110031 is an apocalyptic number.

10441110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10441110031 is a deficient number, since it is larger than the sum of its proper divisors (2344984049).

10441110031 is a wasteful number, since it uses less digits than its factorization.

10441110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48775.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10441110031 its reverse (13001114401), we get a palindrome (23442224432).

The spelling of 10441110031 in words is "ten billion, four hundred forty-one million, one hundred ten thousand, thirty-one".

Divisors: 1 11 17 31 37 187 341 407 527 629 1147 5797 6919 12617 19499 48679 214489 535469 827543 1509049 1801123 9102973 16599539 19812353 25653833 30619091 55834813 282192163 336810001 614182943 949191821 10441110031