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101199329 = 7113735521
BaseRepresentation
bin1100000100000…
…10110111100001
321001102110101022
412002002313201
5201401334304
614013015225
72336115530
oct602026741
9231373338
10101199329
1152140610
1229a84515
1317c7367a
14d624317
158d3eebe
hex6082de1

101199329 has 16 divisors (see below), whose sum is σ = 129584256. Its totient is φ = 76723200.

The previous prime is 101199289. The next prime is 101199331. The reversal of 101199329 is 923991101.

It is not a de Polignac number, because 101199329 - 220 = 100150753 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101199349) 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 15 ways as a sum of consecutive naturals, for example, 14912 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (8099016).

Almost surely, 2101199329 is an apocalyptic number.

It is an amenable number.

101199329 is a deficient number, since it is larger than the sum of its proper divisors (28384927).

101199329 is a wasteful number, since it uses less digits than its factorization.

101199329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35576.

The product of its (nonzero) digits is 4374, while the sum is 35.

The square root of 101199329 is about 10059.7877214184. The cubic root of 101199329 is about 466.0071115224.

The spelling of 101199329 in words is "one hundred one million, one hundred ninety-nine thousand, three hundred twenty-nine".

Divisors: 1 7 11 37 77 259 407 2849 35521 248647 390731 1314277 2735117 9199939 14457047 101199329