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10016242101 = 322348387643
BaseRepresentation
bin10010101010000001…
…11011100110110101
3221212001022211002200
421111000323212311
5131003124221401
64333522455113
7503132440005
oct112500734665
927761284080
1010016242101
11427a9a8a38
121b36504499
13c38186298
146b0390005
153d951a686
hex25503b9b5

10016242101 has 12 divisors (see below), whose sum is σ = 15096944928. Its totient is φ = 6387168744.

The previous prime is 10016242091. The next prime is 10016242123. The reversal of 10016242101 is 10124261001.

10016242101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10016242101 - 27 = 10016241973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016232101) 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 11 ways as a sum of consecutive naturals, for example, 24193615 + ... + 24194028.

It is an arithmetic number, because the mean of its divisors is an integer number (1258078744).

Almost surely, 210016242101 is an apocalyptic number.

It is an amenable number.

10016242101 is a deficient number, since it is larger than the sum of its proper divisors (5080702827).

10016242101 is a wasteful number, since it uses less digits than its factorization.

10016242101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48387672 (or 48387669 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10016242101 in words is "ten billion, sixteen million, two hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 23 69 207 48387643 145162929 435488787 1112915789 3338747367 10016242101