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105682217521 = 313409103791
BaseRepresentation
bin110001001101100100…
…1101010101000110001
3101002210011201220022111
41202123021222220301
53212414121430041
6120314424405321
710430622012226
oct1423311525061
9332704656274
10105682217521
1140901947241
1218594916841
139c72ac272a
14518798b94d
152b37eee981
hex189b26aa31

105682217521 has 4 divisors (see below), whose sum is σ = 109091321344. Its totient is φ = 102273113700.

The previous prime is 105682217503. The next prime is 105682217533. The reversal of 105682217521 is 125712286501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105682217521 - 219 = 105681693233 is a prime.

It is a super-2 number, since 2×1056822175212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105682217551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1704551865 + ... + 1704551926.

It is an arithmetic number, because the mean of its divisors is an integer number (27272830336).

Almost surely, 2105682217521 is an apocalyptic number.

It is an amenable number.

105682217521 is a deficient number, since it is larger than the sum of its proper divisors (3409103823).

105682217521 is an equidigital number, since it uses as much as digits as its factorization.

105682217521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409103822.

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 105682217521 in words is "one hundred five billion, six hundred eighty-two million, two hundred seventeen thousand, five hundred twenty-one".

Divisors: 1 31 3409103791 105682217521