Search a number
-
+
106681233627 = 343142485557
BaseRepresentation
bin110001101011010110…
…0100111000011011011
3101012100210120011210000
41203112230213003123
53221440343434002
6121001513024043
710464442344513
oct1432654470333
9335323504700
10106681233627
1141274858891
12188133b5023
13a0a1a76b17
145240520843
152b95a8961c
hex18d6b270db

106681233627 has 20 divisors (see below), whose sum is σ = 164504080576. Its totient is φ = 68826600720.

The previous prime is 106681233619. The next prime is 106681233653. The reversal of 106681233627 is 726332186601.

106681233627 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 12 + 3 + 3 + 627 = 666.

It is not a de Polignac number, because 106681233627 - 23 = 106681233619 is a prime.

It is a super-2 number, since 2×1066812336272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106681233667) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21240268 + ... + 21245289.

Almost surely, 2106681233627 is an apocalyptic number.

106681233627 is a deficient number, since it is larger than the sum of its proper divisors (57822846949).

106681233627 is an equidigital number, since it uses as much as digits as its factorization.

106681233627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42485600 (or 42485591 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106681233627 in words is "one hundred six billion, six hundred eighty-one million, two hundred thirty-three thousand, six hundred twenty-seven".

Divisors: 1 3 9 27 31 81 93 279 837 2511 42485557 127456671 382370013 1147110039 1317052267 3441330117 3951156801 11853470403 35560411209 106681233627