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106214340331 = 1123419819527
BaseRepresentation
bin110001011101011011…
…1100011011011101011
3101011011021000112120201
41202322313203123223
53220011332342311
6120443313533031
710450042665541
oct1427267433353
9334137015521
10106214340331
1141055253a60
1218702b74177
13a029113ab8
1451d8505d91
152b69ab09c1
hex18bade36eb

106214340331 has 8 divisors (see below), whose sum is σ = 120908024064. Its totient is φ = 92360295720.

The previous prime is 106214340313. The next prime is 106214340373. The reversal of 106214340331 is 133043412601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106214340331 - 217 = 106214209259 is a prime.

It is a super-2 number, since 2×1062143403312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106214340331.

It is not an unprimeable number, because it can be changed into a prime (106214340391) 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 7 ways as a sum of consecutive naturals, for example, 209909511 + ... + 209910016.

It is an arithmetic number, because the mean of its divisors is an integer number (15113503008).

Almost surely, 2106214340331 is an apocalyptic number.

106214340331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106214340331 is a deficient number, since it is larger than the sum of its proper divisors (14693683733).

106214340331 is a wasteful number, since it uses less digits than its factorization.

106214340331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419819561.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 106214340331 its reverse (133043412601), we get a palindrome (239257752932).

The spelling of 106214340331 in words is "one hundred six billion, two hundred fourteen million, three hundred forty thousand, three hundred thirty-one".

Divisors: 1 11 23 253 419819527 4618014797 9655849121 106214340331