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27921101381 is a prime number
BaseRepresentation
bin11010000000001110…
…100011001001000101
32200001212110220120222
4122000032203021011
5424140300221011
620454330034125
72005624305635
oct320016431105
980055426528
1027921101381
11109288087a8
1254b2878945
13282c784a84
1414cc2d26c5
15ad637dddb
hex6803a3245

27921101381 has 2 divisors, whose sum is σ = 27921101382. Its totient is φ = 27921101380.

The previous prime is 27921101347. The next prime is 27921101401. The reversal of 27921101381 is 18310112972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14922821281 + 12998280100 = 122159^2 + 114010^2 .

It is a cyclic number.

It is not a de Polignac number, because 27921101381 - 210 = 27921100357 is a prime.

It is a super-2 number, since 2×279211013812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27921101281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13960550690 + 13960550691.

It is an arithmetic number, because the mean of its divisors is an integer number (13960550691).

Almost surely, 227921101381 is an apocalyptic number.

It is an amenable number.

27921101381 is a deficient number, since it is larger than the sum of its proper divisors (1).

27921101381 is an equidigital number, since it uses as much as digits as its factorization.

27921101381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 35.

The spelling of 27921101381 in words is "twenty-seven billion, nine hundred twenty-one million, one hundred one thousand, three hundred eighty-one".