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3135306401 is a prime number
BaseRepresentation
bin1011101011100000…
…1111101010100001
322002111122001211022
42322320033222201
522410114301101
61235040255225
7140460443663
oct27270175241
98074561738
103135306401
111369887117
12736011515
133ac73a3b6
1421a588533
151353bea1b
hexbae0faa1

3135306401 has 2 divisors, whose sum is σ = 3135306402. Its totient is φ = 3135306400.

The previous prime is 3135306347. The next prime is 3135306439. The reversal of 3135306401 is 1046035313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3064729600 + 70576801 = 55360^2 + 8401^2 .

It is a cyclic number.

It is not a de Polignac number, because 3135306401 - 222 = 3131112097 is a prime.

It is not a weakly prime, because it can be changed into another prime (3135300401) 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 as a sum of consecutive naturals, namely, 1567653200 + 1567653201.

It is an arithmetic number, because the mean of its divisors is an integer number (1567653201).

Almost surely, 23135306401 is an apocalyptic number.

It is an amenable number.

3135306401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3135306401 is an equidigital number, since it uses as much as digits as its factorization.

3135306401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3135306401 is about 55993.8068093249. The cubic root of 3135306401 is about 1463.6143640295.

The spelling of 3135306401 in words is "three billion, one hundred thirty-five million, three hundred six thousand, four hundred one".