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132105831 = 31113307939
BaseRepresentation
bin1111101111111…
…00011001100111
3100012120200010120
413313330121213
5232304341311
621035253023
73162611124
oct767743147
9305520116
10132105831
1168630080
12382aa173
13214a5140
141378b74b
15b8e7706
hex7dfc667

132105831 has 16 divisors (see below), whose sum is σ = 206935680. Its totient is φ = 73905120.

The previous prime is 132105829. The next prime is 132105863. The reversal of 132105831 is 138501231.

It is not a de Polignac number, because 132105831 - 21 = 132105829 is a prime.

It is a super-2 number, since 2×1321058312 = 34903901168401122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153541 + ... + 154398.

It is an arithmetic number, because the mean of its divisors is an integer number (12933480).

Almost surely, 2132105831 is an apocalyptic number.

132105831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132105831 is a deficient number, since it is larger than the sum of its proper divisors (74829849).

132105831 is a wasteful number, since it uses less digits than its factorization.

132105831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307966.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 132105831 is about 11493.7300733922. The cubic root of 132105831 is about 509.3003747854.

The spelling of 132105831 in words is "one hundred thirty-two million, one hundred five thousand, eight hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 307939 923817 3387329 4003207 10161987 12009621 44035277 132105831