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106676767627331 = 1135759271201319
BaseRepresentation
bin11000010000010110011110…
…110101110001100001000011
3111222201012101100112122221212
4120100112132311301201003
5102440243010003033311
61014514344104440335
731320066514443146
oct3020263665614103
9458635340478855
10106676767627331
1130a993aa2a4830
12bb6a8097790ab
13476a7646a35a5
141c4b27c60a05d
15c4ed92dedc8b
hex61059ed71843

106676767627331 has 8 divisors (see below), whose sum is σ = 116377910438400. Its totient is φ = 96976167290440.

The previous prime is 106676767627307. The next prime is 106676767627349. The reversal of 106676767627331 is 133726767676601.

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

It is a cyclic number.

It is not a de Polignac number, because 106676767627331 - 210 = 106676767626307 is a prime.

It is a super-2 number, since 2×1066767676273312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106676767627231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135207311 + ... + 135994008.

It is an arithmetic number, because the mean of its divisors is an integer number (14547238804800).

Almost surely, 2106676767627331 is an apocalyptic number.

106676767627331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106676767627331 is a deficient number, since it is larger than the sum of its proper divisors (9701142811069).

106676767627331 is a wasteful number, since it uses less digits than its factorization.

106676767627331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271237089.

The product of its (nonzero) digits is 336063168, while the sum is 68.

The spelling of 106676767627331 in words is "one hundred six trillion, six hundred seventy-six billion, seven hundred sixty-seven million, six hundred twenty-seven thousand, three hundred thirty-one".

Divisors: 1 11 35759 393349 271201319 2983214509 9697887966121 106676767627331