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132343164101 = 3732653109541
BaseRepresentation
bin111101101000001000…
…1000110110011000101
3110122121020000022111102
41323100101012303011
54132014322222401
6140444141145445
712363405222401
oct1732021066305
9418536008442
10132343164101
11511432a1a95
122179555b285
13c631480775
146596772101
15369890e56b
hex1ed0446cc5

132343164101 has 8 divisors (see below), whose sum is σ = 135925409784. Its totient is φ = 128761202880.

The previous prime is 132343164073. The next prime is 132343164113. The reversal of 132343164101 is 101461343231.

It is a happy number.

It is a Cunningham number, because it is equal to 3637902+1.

It can be written as a sum of positive squares in 4 ways, for example, as 15378480100 + 116964684001 = 124010^2 + 342001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132343164101 - 222 = 132338969797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132343164181) 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 7 ways as a sum of consecutive naturals, for example, 1153391 + ... + 1262931.

It is an arithmetic number, because the mean of its divisors is an integer number (16990676223).

Almost surely, 2132343164101 is an apocalyptic number.

It is an amenable number.

132343164101 is a deficient number, since it is larger than the sum of its proper divisors (3582245683).

132343164101 is a wasteful number, since it uses less digits than its factorization.

132343164101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142231.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 132343164101 in words is "one hundred thirty-two billion, three hundred forty-three million, one hundred sixty-four thousand, one hundred one".

Divisors: 1 37 32653 109541 1208161 4053017 3576842273 132343164101