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132206538217 = 1344922649741
BaseRepresentation
bin111101100100000011…
…1111010110111101001
3110122020200221000000111
41323020013322313221
54131224333210332
6140422420534321
712360126014245
oct1731007726751
9418220830014
10132206538217
1151083164a36
12217578513a1
13c60c085150
146582569425
15368b922947
hex1ec81fade9

132206538217 has 8 divisors (see below), whose sum is σ = 142693374600. Its totient is φ = 121765002240.

The previous prime is 132206538059. The next prime is 132206538223. The reversal of 132206538217 is 712835602231.

It can be written as a sum of positive squares in 4 ways, for example, as 23528185321 + 108678352896 = 153389^2 + 329664^2 .

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 132206538217 - 211 = 132206536169 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 132206538217.

It is not an unprimeable number, because it can be changed into a prime (132206538227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11319034 + ... + 11330707.

It is an arithmetic number, because the mean of its divisors is an integer number (17836671825).

Almost surely, 2132206538217 is an apocalyptic number.

It is an amenable number.

132206538217 is a deficient number, since it is larger than the sum of its proper divisors (10486836383).

132206538217 is a wasteful number, since it uses less digits than its factorization.

132206538217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22650203.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 132206538217 in words is "one hundred thirty-two billion, two hundred six million, five hundred thirty-eight thousand, two hundred seventeen".

Divisors: 1 13 449 5837 22649741 294446633 10169733709 132206538217