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201020220001981 is a prime number
BaseRepresentation
bin101101101101001110101010…
…110011100100111010111101
3222100202100022202120000021201
4231231032222303210322331
5202322003402310030411
61551311225244455501
760225142306252612
oct5555165263447275
9870670282500251
10201020220001981
1159062218671a86
121a667094b4a591
1388221826a0923
14378d605660509
151838ee5a2c3c1
hexb6d3aace4ebd

201020220001981 has 2 divisors, whose sum is σ = 201020220001982. Its totient is φ = 201020220001980.

The previous prime is 201020220001967. The next prime is 201020220002029. The reversal of 201020220001981 is 189100022020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200417562785881 + 602657216100 = 14156891^2 + 776310^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020220001981 - 25 = 201020220001949 is a prime.

It is a super-5 number, since 5×2010202200019815 (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201020220001901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100510110000990 + 100510110000991.

It is an arithmetic number, because the mean of its divisors is an integer number (100510110000991).

Almost surely, 2201020220001981 is an apocalyptic number.

It is an amenable number.

201020220001981 is a deficient number, since it is larger than the sum of its proper divisors (1).

201020220001981 is an equidigital number, since it uses as much as digits as its factorization.

201020220001981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 201020220001981 in words is "two hundred one trillion, twenty billion, two hundred twenty million, one thousand, nine hundred eighty-one".