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132132363 = 311333091
BaseRepresentation
bin1111110000000…
…10111000001011
3100012122000112020
413320002320023
5232311213423
621040015523
73163051356
oct770027013
9305560466
10132132363
1168649000
12383015a3
13214b423c
141379729d
15b9004e3
hex7e02e0b

132132363 has 16 divisors (see below), whose sum is σ = 193786752. Its totient is φ = 80077800.

The previous prime is 132132331. The next prime is 132132391. The reversal of 132132363 is 363231231.

It is a happy number.

It is not a de Polignac number, because 132132363 - 25 = 132132331 is a prime.

It is a super-2 number, since 2×1321323632 = 34917922703927538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132132563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12553 + ... + 20538.

It is an arithmetic number, because the mean of its divisors is an integer number (12111672).

Almost surely, 2132132363 is an apocalyptic number.

132132363 is a deficient number, since it is larger than the sum of its proper divisors (61654389).

132132363 is an equidigital number, since it uses as much as digits as its factorization.

132132363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33127 (or 33105 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 132132363 is about 11494.8842099431. The cubic root of 132132363 is about 509.3344682918.

Adding to 132132363 its reverse (363231231), we get a palindrome (495363594).

It can be divided in two parts, 13213 and 2363, that added together give a triangular number (15576 = T176).

The spelling of 132132363 in words is "one hundred thirty-two million, one hundred thirty-two thousand, three hundred sixty-three".

Divisors: 1 3 11 33 121 363 1331 3993 33091 99273 364001 1092003 4004011 12012033 44044121 132132363