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105117210673 = 1791270346229
BaseRepresentation
bin110000111100101111…
…0010101100000110001
3101001022210120120121221
41201321132111200301
53210240001220143
6120142402345041
710410621356026
oct1417136254061
9331283516557
10105117210673
1140641a1a232
121845765b181
139bb2a29757
14513291354d
152b035e52ed
hex1879795831

105117210673 has 8 divisors (see below), whose sum is σ = 105715065600. Its totient is φ = 104519473968.

The previous prime is 105117210619. The next prime is 105117210677. The reversal of 105117210673 is 376012711501.

It is a happy number.

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-105117210673 is a prime.

It is a super-2 number, since 2×1051172106732 (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 (105117210677) 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, 2250723 + ... + 2296951.

It is an arithmetic number, because the mean of its divisors is an integer number (13214383200).

Almost surely, 2105117210673 is an apocalyptic number.

It is an amenable number.

105117210673 is a deficient number, since it is larger than the sum of its proper divisors (597854927).

105117210673 is a wasteful number, since it uses less digits than its factorization.

105117210673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59111.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 105117210673 in words is "one hundred five billion, one hundred seventeen million, two hundred ten thousand, six hundred seventy-three".

Divisors: 1 179 12703 46229 2273837 8274991 587246987 105117210673