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106171316531 = 723659449171
BaseRepresentation
bin110001011100001001…
…1011011100100110011
3101011001021001201000122
41202320103123210303
53214414324112111
6120435135440455
710446011204660
oct1427023334463
9334037051018
10106171316531
1141032a385a5
12186b068612b
13a02022bb27
1451d2906a67
152b65e12cdb
hex18b84db933

106171316531 has 8 divisors (see below), whose sum is σ = 126614241024. Its totient is φ = 87047290440.

The previous prime is 106171316477. The next prime is 106171316533. The reversal of 106171316531 is 135613171601.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106171316531 is a prime.

It is a super-3 number, since 3×1061713165313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106171316491 and 106171316500.

It is not an unprimeable number, because it can be changed into a prime (106171316533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329724425 + ... + 329724746.

It is an arithmetic number, because the mean of its divisors is an integer number (15826780128).

Almost surely, 2106171316531 is an apocalyptic number.

106171316531 is a deficient number, since it is larger than the sum of its proper divisors (20442924493).

106171316531 is an equidigital number, since it uses as much as digits as its factorization.

106171316531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659449201.

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 106171316531 in words is "one hundred six billion, one hundred seventy-one million, three hundred sixteen thousand, five hundred thirty-one".

Divisors: 1 7 23 161 659449171 4616144197 15167330933 106171316531