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132133005 = 3353131573
BaseRepresentation
bin1111110000000…
…11000010001101
3100012122001102000
413320003002031
5232311224010
621040022513
73163053264
oct770030215
9305561360
10132133005
1168649534
1238301a39
13214b4614
14137975db
15b9007c0
hex7e0308d

132133005 has 32 divisors (see below), whose sum is σ = 242488320. Its totient is φ = 68195520.

The previous prime is 132132991. The next prime is 132133007. The reversal of 132133005 is 500331231.

It is not a de Polignac number, because 132133005 - 27 = 132132877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11602 + ... + 19971.

It is an arithmetic number, because the mean of its divisors is an integer number (7577760).

Almost surely, 2132133005 is an apocalyptic number.

132133005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132133005 is a deficient number, since it is larger than the sum of its proper divisors (110355315).

132133005 is a wasteful number, since it uses less digits than its factorization.

132133005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31618 (or 31612 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 132133005 is about 11494.9121353754. The cubic root of 132133005 is about 509.3352932025.

Adding to 132133005 its reverse (500331231), we get a palindrome (632464236).

The spelling of 132133005 in words is "one hundred thirty-two million, one hundred thirty-three thousand, five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185 31573 94719 157865 284157 473595 852471 978763 1420785 2936289 4262355 4893815 8808867 14681445 26426601 44044335 132133005