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132341111001 = 32112134162639
BaseRepresentation
bin111101101000000100…
…1010001100011011001
3110122121002011000011200
41323100021101203121
54132013311023001
6140444025144413
712363351611601
oct1732011214331
9418532130150
10132341111001
115114211a510
122179492b109
13c630c12108
146596399c01
153698656086
hex1ed02518d9

132341111001 has 24 divisors (see below), whose sum is σ = 208550609280. Its totient is φ = 80201695200.

The previous prime is 132341110987. The next prime is 132341111017. The reversal of 132341111001 is 100111143231.

It is a happy number.

It is not a de Polignac number, because 132341111001 - 25 = 132341110969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132341111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2081440 + ... + 2144078.

It is an arithmetic number, because the mean of its divisors is an integer number (8689608720).

Almost surely, 2132341111001 is an apocalyptic number.

132341111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132341111001 is a deficient number, since it is larger than the sum of its proper divisors (76209498279).

132341111001 is a wasteful number, since it uses less digits than its factorization.

132341111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83997 (or 83994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132341111001 its reverse (100111143231), we get a palindrome (232452254232).

It can be divided in two parts, 132341 and 111001, that added together give a palindrome (243342).

The spelling of 132341111001 in words is "one hundred thirty-two billion, three hundred forty-one million, one hundred eleven thousand, one".

Divisors: 1 3 9 11 33 99 21341 62639 64023 187917 192069 234751 563751 689029 704253 2067087 2112759 6201261 1336778899 4010336697 12031010091 14704567889 44113703667 132341111001