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842670101 = 72131322873
BaseRepresentation
bin110010001110100…
…010000000010101
32011201122002001202
4302032202000111
53211210420401
6215341202245
726611402100
oct6216420025
92151562052
10842670101
113a2735579
121b6260385
13105772b80
147dcb5737
154dea506b
hex323a2015

842670101 has 12 divisors (see below), whose sum is σ = 1055653452. Its totient is φ = 666727488.

The previous prime is 842670071. The next prime is 842670107. The reversal of 842670101 is 101076248.

It can be written as a sum of positive squares in 2 ways, for example, as 310675876 + 531994225 = 17626^2 + 23065^2 .

It is not a de Polignac number, because 842670101 - 214 = 842653717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842670107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660800 + ... + 662073.

It is an arithmetic number, because the mean of its divisors is an integer number (87971121).

Almost surely, 2842670101 is an apocalyptic number.

It is an amenable number.

842670101 is a deficient number, since it is larger than the sum of its proper divisors (212983351).

842670101 is a wasteful number, since it uses less digits than its factorization.

842670101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322900 (or 1322893 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 842670101 is about 29028.7805634339. The cubic root of 842670101 is about 944.5374782780.

The spelling of 842670101 in words is "eight hundred forty-two million, six hundred seventy thousand, one hundred one".

Divisors: 1 7 13 49 91 637 1322873 9260111 17197349 64820777 120381443 842670101