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1327820221 = 71337394363
BaseRepresentation
bin100111100100100…
…1110110110111101
310102112112020220201
41033021032312331
510204410221341
6335431443501
744622166660
oct11711166675
93375466821
101327820221
11621579a92
12310826591
13182128a50
14c84c36d7
157b888331
hex4f24edbd

1327820221 has 16 divisors (see below), whose sum is σ = 1678413184. Its totient is φ = 1022186304.

The previous prime is 1327820213. The next prime is 1327820231. The reversal of 1327820221 is 1220287231.

It is a cyclic number.

It is not a de Polignac number, because 1327820221 - 23 = 1327820213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1327820221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327820231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193815 + ... + 200548.

It is an arithmetic number, because the mean of its divisors is an integer number (104900824).

Almost surely, 21327820221 is an apocalyptic number.

It is an amenable number.

1327820221 is a deficient number, since it is larger than the sum of its proper divisors (350592963).

1327820221 is a wasteful number, since it uses less digits than its factorization.

1327820221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394420.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1327820221 is about 36439.2675694778. The cubic root of 1327820221 is about 1099.1233293261.

The spelling of 1327820221 in words is "one billion, three hundred twenty-seven million, eight hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 13 37 91 259 481 3367 394363 2760541 5126719 14591431 35887033 102140017 189688603 1327820221