Search a number
-
+
106006321343 = 13311571938681
BaseRepresentation
bin110001010111001111…
…0000001100010111111
3101010121202121002011202
41202232132001202333
53214100104240333
6120410523210115
710441635602306
oct1425636014277
9333552532152
10106006321343
1140a5889423a
121866537693b
139cc4cac840
1451b8a3743d
152b566c05e8
hex18ae7818bf

106006321343 has 32 divisors (see below), whose sum is σ = 119222057472. Its totient is φ = 93594009600.

The previous prime is 106006321331. The next prime is 106006321357. The reversal of 106006321343 is 343123600601.

It is not a de Polignac number, because 106006321343 - 210 = 106006320319 is a prime.

It is a super-2 number, since 2×1060063213432 (a number of 23 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 (106006021343) 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, 12206963 + ... + 12215643.

It is an arithmetic number, because the mean of its divisors is an integer number (3725689296).

Almost surely, 2106006321343 is an apocalyptic number.

106006321343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106006321343 is a deficient number, since it is larger than the sum of its proper divisors (13215736129).

106006321343 is a wasteful number, since it uses less digits than its factorization.

106006321343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9075.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 106006321343 its reverse (343123600601), we get a palindrome (449129921944).

The spelling of 106006321343 in words is "one hundred six billion, six million, three hundred twenty-one thousand, three hundred forty-three".

Divisors: 1 13 31 157 193 403 2041 2509 4867 5983 8681 30301 63271 77779 112853 269111 393913 939331 1362917 1675433 3498443 12211303 17717921 21780629 42250427 51938423 263042981 549255551 675199499 3419558753 8154332411 106006321343