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132101312 = 267294869
BaseRepresentation
bin1111101111110…
…11010011000000
3100012120102221012
413313323103000
5232304220222
621035220052
73162562010
oct767732300
9305512835
10132101312
1168627742
12382a7628
13214a3075
1413789c40
15b8e61e2
hex7dfb4c0

132101312 has 28 divisors (see below), whose sum is σ = 299587920. Its totient is φ = 56614656.

The previous prime is 132101309. The next prime is 132101369. The reversal of 132101312 is 213101231.

132101312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146987 + ... + 147882.

Almost surely, 2132101312 is an apocalyptic number.

It is an amenable number.

132101312 is an abundant number, since it is smaller than the sum of its proper divisors (167486608).

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

132101312 is an equidigital number, since it uses as much as digits as its factorization.

132101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294888 (or 294878 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132101312 is about 11493.5334862696. The cubic root of 132101312 is about 509.2945674348.

Adding to 132101312 its reverse (213101231), we get a palindrome (345202543).

The spelling of 132101312 in words is "one hundred thirty-two million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 294869 589738 1179476 2064083 2358952 4128166 4717904 8256332 9435808 16512664 18871616 33025328 66050656 132101312