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541357103011 is a prime number
BaseRepresentation
bin1111110000010110110…
…01011101011110100011
31220202100002220020002111
413320023121131132203
532332144404244021
61052410201300151
754053222310604
oct7701331353643
91822302806074
10541357103011
11199651a7607a
1288b03494657
133c08540c76a
141c2b7b37dab
15e1368398e1
hex7e0b65d7a3

541357103011 has 2 divisors, whose sum is σ = 541357103012. Its totient is φ = 541357103010.

The previous prime is 541357103009. The next prime is 541357103051. The reversal of 541357103011 is 110301753145.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 541357103011 - 21 = 541357103009 is a prime.

It is a super-2 number, since 2×5413571030112 (a number of 24 digits) contains 22 as substring.

Together with 541357103009, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (541357103051) 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, 270678551505 + 270678551506.

It is an arithmetic number, because the mean of its divisors is an integer number (270678551506).

Almost surely, 2541357103011 is an apocalyptic number.

541357103011 is a deficient number, since it is larger than the sum of its proper divisors (1).

541357103011 is an equidigital number, since it uses as much as digits as its factorization.

541357103011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 541357103011 its reverse (110301753145), we get a palindrome (651658856156).

The spelling of 541357103011 in words is "five hundred forty-one billion, three hundred fifty-seven million, one hundred three thousand, eleven".