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132126361 = 192366001
BaseRepresentation
bin1111110000000…
…01011010011001
3100012121201021221
413320001122121
5232311020421
621035532041
73163025023
oct770013231
9305551257
10132126361
1168644544
12382ba021
13214b15a3
1413795013
15b8ed841
hex7e01699

132126361 has 6 divisors (see below), whose sum is σ = 139446762. Its totient is φ = 125172000.

The previous prime is 132126347. The next prime is 132126383. The reversal of 132126361 is 163621231.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 12355225 = 10944^2 + 3515^2 .

It is not a de Polignac number, because 132126361 - 29 = 132125849 is a prime.

It is a super-2 number, since 2×1321263612 = 34914750542204642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132126331) 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 5 ways as a sum of consecutive naturals, for example, 182640 + ... + 183361.

It is an arithmetic number, because the mean of its divisors is an integer number (23241127).

Almost surely, 2132126361 is an apocalyptic number.

It is an amenable number.

132126361 is a deficient number, since it is larger than the sum of its proper divisors (7320401).

132126361 is an equidigital number, since it uses as much as digits as its factorization.

132126361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366039 (or 366020 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 132126361 is about 11494.6231343181. The cubic root of 132126361 is about 509.3267561470.

Adding to 132126361 its reverse (163621231), we get a palindrome (295747592).

The spelling of 132126361 in words is "one hundred thirty-two million, one hundred twenty-six thousand, three hundred sixty-one".

Divisors: 1 19 361 366001 6954019 132126361