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132101344 = 2541107941
BaseRepresentation
bin1111101111110…
…11010011100000
3100012120102222101
413313323103200
5232304220334
621035220144
73162562054
oct767732340
9305512871
10132101344
1168627771
12382a7654
13214a309b
1413789c64
15b8e6214
hex7dfb4e0

132101344 has 48 divisors (see below), whose sum is σ = 269193456. Its totient is φ = 63769600.

The previous prime is 132101309. The next prime is 132101369. The reversal of 132101344 is 443101231.

132101344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 139914 + ... + 140854.

It is an arithmetic number, because the mean of its divisors is an integer number (5608197).

Almost surely, 2132101344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134596728).

132101344 is an abundant number, since it is smaller than the sum of its proper divisors (137092112).

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

132101344 is a wasteful number, since it uses less digits than its factorization.

132101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132101344 is about 11493.5348783566. The cubic root of 132101344 is about 509.2946085583.

Adding to 132101344 its reverse (443101231), we get a palindrome (575202575).

The spelling of 132101344 in words is "one hundred thirty-two million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 107 164 214 328 428 656 856 941 1312 1712 1882 3424 3764 4387 7528 8774 15056 17548 30112 35096 38581 70192 77162 100687 140384 154324 201374 308648 402748 617296 805496 1234592 1610992 3221984 4128167 8256334 16512668 33025336 66050672 132101344