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201864556013 is a prime number
BaseRepresentation
bin1011110000000000010…
…0001010110111101101
3201022001021202221111112
42330000010022313231
511301404311243023
6232422454001405
720404251262241
oct2740004126755
9638037687445
10201864556013
117867930878a
1233158046265
13160606c2b63
149aad9a0421
1553b6ed0478
hex2f0010aded

201864556013 has 2 divisors, whose sum is σ = 201864556014. Its totient is φ = 201864556012.

The previous prime is 201864555943. The next prime is 201864556051. The reversal of 201864556013 is 310655468102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180575703364 + 21288852649 = 424942^2 + 145907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201864556013 is a prime.

It is a super-2 number, since 2×2018645560132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201864556093) 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, 100932278006 + 100932278007.

It is an arithmetic number, because the mean of its divisors is an integer number (100932278007).

Almost surely, 2201864556013 is an apocalyptic number.

It is an amenable number.

201864556013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201864556013 is an equidigital number, since it uses as much as digits as its factorization.

201864556013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 201864556013 in words is "two hundred one billion, eight hundred sixty-four million, five hundred fifty-six thousand, thirteen".