Search a number
-
+
10681103583 = 331242131849
BaseRepresentation
bin10011111001010010…
…01011010011011111
31000120101101021121000
421330221023103133
5133333330303313
64523513041343
7525454611453
oct117451132337
930511337530
1010681103583
114591228237
1220a10b6253
131012b41847
147347bc663
15427a9b673
hex27ca4b4df

10681103583 has 16 divisors (see below), whose sum is σ = 15825628000. Its totient is φ = 7119938880.

The previous prime is 10681103569. The next prime is 10681103603. The reversal of 10681103583 is 38530118601.

10681103583 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 10 + 3 + 583 = 666.

It is not a de Polignac number, because 10681103583 - 220 = 10680055007 is a prime.

It is a super-2 number, since 2×106811035832 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681103533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319443 + ... + 351291.

It is an arithmetic number, because the mean of its divisors is an integer number (989101750).

Almost surely, 210681103583 is an apocalyptic number.

10681103583 is a deficient number, since it is larger than the sum of its proper divisors (5144524417).

10681103583 is a wasteful number, since it uses less digits than its factorization.

10681103583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44279 (or 44273 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10681103583 in words is "ten billion, six hundred eighty-one million, one hundred three thousand, five hundred eighty-three".

Divisors: 1 3 9 27 12421 31849 37263 95547 111789 286641 335367 859923 395596429 1186789287 3560367861 10681103583