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132005523 = 3137514507
BaseRepresentation
bin1111101111000…
…11111010010011
3100012101120112110
413313203322103
5232243134043
621033200403
73162012516
oct767437223
9305346473
10132005523
1168571781
1238260103
132146b5a0
1413762d7d
15b8c7b33
hex7de3e93

132005523 has 16 divisors (see below), whose sum is σ = 189840896. Its totient is φ = 81108000.

The previous prime is 132005509. The next prime is 132005537. The reversal of 132005523 is 325500231.

It is an interprime number because it is at equal distance from previous prime (132005509) and next prime (132005537).

It is not a de Polignac number, because 132005523 - 25 = 132005491 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132005523.

It is not an unprimeable number, because it can be changed into a prime (132005123) 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, 27036 + ... + 31542.

It is an arithmetic number, because the mean of its divisors is an integer number (11865056).

Almost surely, 2132005523 is an apocalyptic number.

132005523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132005523 is a deficient number, since it is larger than the sum of its proper divisors (57835373).

132005523 is a wasteful number, since it uses less digits than its factorization.

132005523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 132005523 is about 11489.3656482854. The cubic root of 132005523 is about 509.1714381665.

Adding to 132005523 its reverse (325500231), we get a palindrome (457505754).

The spelling of 132005523 in words is "one hundred thirty-two million, five thousand, five hundred twenty-three".

Divisors: 1 3 13 39 751 2253 4507 9763 13521 29289 58591 175773 3384757 10154271 44001841 132005523