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401442231013 is a prime number
BaseRepresentation
bin1011101011101111101…
…00100101001011100101
31102101012012101022000021
411311313310211023211
523034123202343023
6504230420115141
741001053443105
oct5656764451345
91371165338007
10401442231013
1114528374595a
1265976235ab1
132bb18384c85
1415603949205
15a69833135d
hex5d77d252e5

401442231013 has 2 divisors, whose sum is σ = 401442231014. Its totient is φ = 401442231012.

The previous prime is 401442230993. The next prime is 401442231017. The reversal of 401442231013 is 310132244104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312818727204 + 88623503809 = 559302^2 + 297697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401442231013 is a prime.

It is a super-2 number, since 2×4014422310132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401442231017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200721115506 + 200721115507.

It is an arithmetic number, because the mean of its divisors is an integer number (200721115507).

Almost surely, 2401442231013 is an apocalyptic number.

It is an amenable number.

401442231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

401442231013 is an equidigital number, since it uses as much as digits as its factorization.

401442231013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 401442231013 its reverse (310132244104), we get a palindrome (711574475117).

The spelling of 401442231013 in words is "four hundred one billion, four hundred forty-two million, two hundred thirty-one thousand, thirteen".