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1327211001 = 3453309157
BaseRepresentation
bin100111100011011…
…1010000111111001
310102111101022020000
41033012322013321
510204231223001
6335410423213
744614051554
oct11706720771
93374338200
101327211001
116211a32a6
12310591b09
13181c7466c
14c83a569b
157b7b7a86
hex4f1ba1f9

1327211001 has 20 divisors (see below), whose sum is σ = 2020038372. Its totient is φ = 868110048.

The previous prime is 1327210931. The next prime is 1327211033. The reversal of 1327211001 is 1001127231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 520934976 + 806276025 = 22824^2 + 28395^2 .

It is not a de Polignac number, because 1327211001 - 227 = 1192993273 is a prime.

It is a super-2 number, since 2×13272110012 = 3522978082350844002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327211101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150286 + ... + 158871.

Almost surely, 21327211001 is an apocalyptic number.

It is an amenable number.

1327211001 is a deficient number, since it is larger than the sum of its proper divisors (692827371).

1327211001 is an equidigital number, since it uses as much as digits as its factorization.

1327211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309222 (or 309213 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1327211001 is about 36430.9072217533. The cubic root of 1327211001 is about 1098.9552065792.

Adding to 1327211001 its reverse (1001127231), we get a palindrome (2328338232).

The spelling of 1327211001 in words is "one billion, three hundred twenty-seven million, two hundred eleven thousand, one".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 309157 927471 2782413 8347239 16385321 25041717 49155963 147467889 442403667 1327211001