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105027500773 = 1319142298631
BaseRepresentation
bin110000111010000100…
…0000111101011100101
3101001002112202211210001
41201310020013223211
53210044020011043
6120125435501301
710405452012106
oct1416410075345
9331075684701
10105027500773
11405a6316918
12184315b7831
139b9a279880
145124a403ad
152aea7c474d
hex1874207ae5

105027500773 has 8 divisors (see below), whose sum is σ = 113698722816. Its totient is φ = 96440876400.

The previous prime is 105027500749. The next prime is 105027500779. The reversal of 105027500773 is 377005720501.

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 105027500773 - 225 = 104993946341 is a prime.

It is a super-2 number, since 2×1050275007732 (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 (105027500779) 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 7 ways as a sum of consecutive naturals, for example, 21146833 + ... + 21151798.

It is an arithmetic number, because the mean of its divisors is an integer number (14212340352).

Almost surely, 2105027500773 is an apocalyptic number.

105027500773 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105027500773 is a deficient number, since it is larger than the sum of its proper divisors (8671222043).

105027500773 is a wasteful number, since it uses less digits than its factorization.

105027500773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42298835.

The product of its (nonzero) digits is 51450, while the sum is 37.

The spelling of 105027500773 in words is "one hundred five billion, twenty-seven million, five hundred thousand, seven hundred seventy-three".

Divisors: 1 13 191 2483 42298631 549882203 8079038521 105027500773