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132127311 = 31916314221
BaseRepresentation
bin1111110000000…
…01101001001111
3100012121202121010
413320001221033
5232311033221
621035540303
73163030551
oct770015117
9305552533
10132127311
1168645228
12382ba693
13214b1b54
14137954d1
15b8edc76
hex7e01a4f

132127311 has 16 divisors (see below), whose sum is σ = 186592640. Its totient is φ = 82931040.

The previous prime is 132127279. The next prime is 132127313. The reversal of 132127311 is 113721231.

It is a happy number.

It is not a de Polignac number, because 132127311 - 25 = 132127279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132127313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181 + ... + 16401.

It is an arithmetic number, because the mean of its divisors is an integer number (11662040).

Almost surely, 2132127311 is an apocalyptic number.

132127311 is a deficient number, since it is larger than the sum of its proper divisors (54465329).

132127311 is a wasteful number, since it uses less digits than its factorization.

132127311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406.

The product of its digits is 252, while the sum is 21.

The square root of 132127311 is about 11494.6644579126. The cubic root of 132127311 is about 509.3279768453.

Adding to 132127311 its reverse (113721231), we get a palindrome (245848542).

The spelling of 132127311 in words is "one hundred thirty-two million, one hundred twenty-seven thousand, three hundred eleven".

Divisors: 1 3 19 57 163 489 3097 9291 14221 42663 270199 810597 2318023 6954069 44042437 132127311