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132105050 = 25271134313
BaseRepresentation
bin1111101111111…
…00001101011010
3100012120122001122
413313330031122
5232304330200
621035245242
73162605630
oct767741532
9305518048
10132105050
116862a530
12382a9822
13214a498c
141378b350
15b8e7385
hex7dfc35a

132105050 has 48 divisors (see below), whose sum is σ = 306355392. Its totient is φ = 41174400.

The previous prime is 132105047. The next prime is 132105053. The reversal of 132105050 is 50501231.

132105050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132105047) and next prime (132105053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13307 + ... + 21006.

It is an arithmetic number, because the mean of its divisors is an integer number (6382404).

Almost surely, 2132105050 is an apocalyptic number.

132105050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132105050 is an abundant number, since it is smaller than the sum of its proper divisors (174250342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132105050 is a wasteful number, since it uses less digits than its factorization.

132105050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34343 (or 34338 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 132105050 is about 11493.6960982967. The cubic root of 132105050 is about 509.2993711346.

Adding to 132105050 its reverse (50501231), we get a palindrome (182606281).

The spelling of 132105050 in words is "one hundred thirty-two million, one hundred five thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1925 3850 34313 68626 171565 240191 343130 377443 480382 754886 857825 1200955 1715650 1887215 2401910 2642101 3774430 5284202 6004775 9436075 12009550 13210505 18872150 26421010 66052525 132105050