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831000105 = 325133145823
BaseRepresentation
bin110001100010000…
…000111000101001
32010220200011211200
4301202000320221
53200214000410
6214243114413
726410245555
oct6142007051
92126604750
10831000105
11397094751
121b2372a09
13103218150
147c518865
154ce4c3c0
hex31880e29

831000105 has 48 divisors (see below), whose sum is σ = 1601273856. Its totient is φ = 395902080.

The previous prime is 831000101. The next prime is 831000109. The reversal of 831000105 is 501000138.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (831000101) and next prime (831000109).

It is not a de Polignac number, because 831000105 - 22 = 831000101 is a prime.

It is a super-2 number, since 2×8310001052 = 1381122349020022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (831000101) 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 47 ways as a sum of consecutive naturals, for example, 4777 + ... + 41046.

It is an arithmetic number, because the mean of its divisors is an integer number (33359872).

Almost surely, 2831000105 is an apocalyptic number.

It is an amenable number.

831000105 is a deficient number, since it is larger than the sum of its proper divisors (770273751).

831000105 is a wasteful number, since it uses less digits than its factorization.

831000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45878 (or 45875 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 831000105 is about 28827.0724320039. The cubic root of 831000105 is about 940.1569471604.

The spelling of 831000105 in words is "eight hundred thirty-one million, one hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 18135 45823 137469 229115 412407 595699 687345 1420513 1787097 2062035 2978495 4261539 5361291 7102565 8935485 12784617 18466669 21307695 26806455 55400007 63923085 92333345 166200021 277000035 831000105