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35142107 = 7111335107
BaseRepresentation
bin1000011000001…
…1100111011011
32110010101220112
42012003213123
532444021412
63253114535
7604463060
oct206034733
973111815
1035142107
1118922870
12b928a4b
137385660
14494ac67
153142722
hex21839db

35142107 has 16 divisors (see below), whose sum is σ = 47185152. Its totient is φ = 25276320.

The previous prime is 35142083. The next prime is 35142109. The reversal of 35142107 is 70124153.

35142107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 35142107 - 216 = 35076571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35142109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16553 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (2949072).

Almost surely, 235142107 is an apocalyptic number.

35142107 is a deficient number, since it is larger than the sum of its proper divisors (12043045).

35142107 is a wasteful number, since it uses less digits than its factorization.

35142107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35138.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 35142107 is about 5928.0778503660. The cubic root of 35142107 is about 327.5487393227.

The spelling of 35142107 in words is "thirty-five million, one hundred forty-two thousand, one hundred seven".

Divisors: 1 7 11 13 77 91 143 1001 35107 245749 386177 456391 2703239 3194737 5020301 35142107