Search a number
-
+
106789322079 = 3311359560007
BaseRepresentation
bin110001101110100100…
…0111011110101011111
3101012122022221122021000
41203131020323311133
53222201031301304
6121020333441343
710500224155266
oct1433510736537
9335568848230
10106789322079
114131a874290
1218843640253
13a0bb29009b
145250a195dd
152ba02da939
hex18dd23bd5f

106789322079 has 16 divisors (see below), whose sum is σ = 172588803840. Its totient is φ = 64720801080.

The previous prime is 106789322063. The next prime is 106789322147. The reversal of 106789322079 is 970223987601.

It is not a de Polignac number, because 106789322079 - 24 = 106789322063 is a prime.

It is a super-2 number, since 2×1067893220792 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106789322579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179779707 + ... + 179780300.

It is an arithmetic number, because the mean of its divisors is an integer number (10786800240).

Almost surely, 2106789322079 is an apocalyptic number.

106789322079 is a deficient number, since it is larger than the sum of its proper divisors (65799481761).

106789322079 is a wasteful number, since it uses less digits than its factorization.

106789322079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359560027 (or 359560021 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 106789322079 in words is "one hundred six billion, seven hundred eighty-nine million, three hundred twenty-two thousand, seventy-nine".

Divisors: 1 3 9 11 27 33 99 297 359560007 1078680021 3236040063 3955160077 9708120189 11865480231 35596440693 106789322079