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831414129 = 37139113343
BaseRepresentation
bin110001100011100…
…101111101110001
32010221110012202220
4301203211331301
53200320223004
6214300031253
726413621620
oct6143457561
92127405686
10831414129
11397347817
121b2532529
13103331730
147c5c56b7
154cecedd9
hex318e5f71

831414129 has 32 divisors (see below), whose sum is σ = 1366278144. Its totient is φ = 437935680.

The previous prime is 831414119. The next prime is 831414131. The reversal of 831414129 is 921414138.

It is a happy number.

It is not a de Polignac number, because 831414129 - 28 = 831413873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 831414129.

It is not an unprimeable number, because it can be changed into a prime (831414109) 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 31 ways as a sum of consecutive naturals, for example, 247032 + ... + 250374.

It is an arithmetic number, because the mean of its divisors is an integer number (42696192).

Almost surely, 2831414129 is an apocalyptic number.

It is an amenable number.

831414129 is a deficient number, since it is larger than the sum of its proper divisors (534864015).

831414129 is a wasteful number, since it uses less digits than its factorization.

831414129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277.

The product of its digits is 6912, while the sum is 33.

The square root of 831414129 is about 28834.2527040324. The cubic root of 831414129 is about 940.3130574149.

Subtracting 831414129 from its reverse (921414138), we obtain a palindrome (90000009).

The spelling of 831414129 in words is "eight hundred thirty-one million, four hundred fourteen thousand, one hundred twenty-nine".

Divisors: 1 3 7 13 21 39 91 273 911 2733 3343 6377 10029 11843 19131 23401 35529 43459 70203 82901 130377 248703 304213 912639 3045473 9136419 21318311 39591149 63954933 118773447 277138043 831414129