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301431004001 is a prime number
BaseRepresentation
bin1000110001011101011…
…00000001101101100001
31001211001020121120012022
410120232230001231201
514414312314112001
6350250412311225
730530512154561
oct4305654015541
91054036546168
10301431004001
11106921a41836
124a504772515
132256a44433a
1410837204da1
157c9312a11b
hex462eb01b61

301431004001 has 2 divisors, whose sum is σ = 301431004002. Its totient is φ = 301431004000.

The previous prime is 301431003989. The next prime is 301431004033. The reversal of 301431004001 is 100400134103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289858408225 + 11572595776 = 538385^2 + 107576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301431004001 is a prime.

It is not a weakly prime, because it can be changed into another prime (301431004601) 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, 150715502000 + 150715502001.

It is an arithmetic number, because the mean of its divisors is an integer number (150715502001).

Almost surely, 2301431004001 is an apocalyptic number.

It is an amenable number.

301431004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

301431004001 is an equidigital number, since it uses as much as digits as its factorization.

301431004001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 301431004001 its reverse (100400134103), we get a palindrome (401831138104).

The spelling of 301431004001 in words is "three hundred one billion, four hundred thirty-one million, four thousand, one".