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20213112300193 is a prime number
BaseRepresentation
bin1001001100010001110110…
…11000001110001010100001
32122120100120112212001112001
410212020323120032022201
510122132423222101233
6110553435310204001
74154230523465221
oct446107330161241
978510515761461
1020213112300193
116493372a3646a
12232552a4b3601
13b3811c033c07
144dc46997c081
15250bc954127d
hex12623b60e2a1

20213112300193 has 2 divisors, whose sum is σ = 20213112300194. Its totient is φ = 20213112300192.

The previous prime is 20213112300131. The next prime is 20213112300221. The reversal of 20213112300193 is 39100321131202.

It is an a-pointer prime, because the next prime (20213112300221) can be obtained adding 20213112300193 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16343204984929 + 3869907315264 = 4042673^2 + 1967208^2 .

It is a cyclic number.

It is not a de Polignac number, because 20213112300193 - 213 = 20213112292001 is a prime.

It is not a weakly prime, because it can be changed into another prime (20213115300193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106556150096 + 10106556150097.

It is an arithmetic number, because the mean of its divisors is an integer number (10106556150097).

Almost surely, 220213112300193 is an apocalyptic number.

It is an amenable number.

20213112300193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20213112300193 is an equidigital number, since it uses as much as digits as its factorization.

20213112300193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 20213112300193 its reverse (39100321131202), we get a palindrome (59313433431395).

The spelling of 20213112300193 in words is "twenty trillion, two hundred thirteen billion, one hundred twelve million, three hundred thousand, one hundred ninety-three".