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1327334401 is a prime number
BaseRepresentation
bin100111100011101…
…1000010000000001
310102111121120111101
41033013120100001
510204244200101
6335413214401
744615104411
oct11707302001
93374546441
101327334401
11621277a88
12310631401
13181cb8893
14c83d8641
157b7de401
hex4f1d8401

1327334401 has 2 divisors, whose sum is σ = 1327334402. Its totient is φ = 1327334400.

The previous prime is 1327334383. The next prime is 1327334413. The reversal of 1327334401 is 1044337231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1137308176 + 190026225 = 33724^2 + 13785^2 .

It is a cyclic number.

It is not a de Polignac number, because 1327334401 - 211 = 1327332353 is a prime.

It is a super-2 number, since 2×13273344012 = 3523633224156057602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1327334401.

It is not a weakly prime, because it can be changed into another prime (1327334431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 663667200 + 663667201.

It is an arithmetic number, because the mean of its divisors is an integer number (663667201).

Almost surely, 21327334401 is an apocalyptic number.

It is an amenable number.

1327334401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1327334401 is an equidigital number, since it uses as much as digits as its factorization.

1327334401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 1327334401 is about 36432.6007992841. The cubic root of 1327334401 is about 1098.9892646830.

It can be divided in two parts, 132733440 and 1, that added together give a square (132733441 = 115212).

The spelling of 1327334401 in words is "one billion, three hundred twenty-seven million, three hundred thirty-four thousand, four hundred one".