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132124041 = 347233289
BaseRepresentation
bin1111110000000…
…00110110001001
3100012121121010000
413320000312021
5232310432131
621035513213
73163015200
oct770006611
9305547100
10132124041
1168642825
12382b8809
13214b050a
1413794237
15b8ecce6
hex7e00d89

132124041 has 30 divisors (see below), whose sum is σ = 229601130. Its totient is φ = 75497184.

The previous prime is 132124039. The next prime is 132124049. The reversal of 132124041 is 140421231.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 54331641 = 8820^2 + 7371^2 .

It is not a de Polignac number, because 132124041 - 21 = 132124039 is a prime.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (132124049) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12676 + ... + 20613.

It is an arithmetic number, because the mean of its divisors is an integer number (7653371).

Almost surely, 2132124041 is an apocalyptic number.

It is an amenable number.

132124041 is a deficient number, since it is larger than the sum of its proper divisors (97477089).

132124041 is an equidigital number, since it uses as much as digits as its factorization.

132124041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33315 (or 33299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132124041 is about 11494.5222171259. The cubic root of 132124041 is about 509.3237750488.

Adding to 132124041 its reverse (140421231), we get a palindrome (272545272).

The spelling of 132124041 in words is "one hundred thirty-two million, one hundred twenty-four thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 33289 99867 233023 299601 699069 898803 1631161 2097207 2696409 4893483 6291621 14680449 18874863 44041347 132124041