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1020021221993 is a prime number
BaseRepresentation
bin11101101011111100000…
…00001010101001101001
310121111212000212212211112
432311332000022221221
5113203000413100433
62100331414440105
7133460035221434
oct16657600125151
93544760785745
101020021221993
1136365242a354
1214582b063035
1375259193b67
143752549481b
151b7ee2c5348
hexed7e00aa69

1020021221993 has 2 divisors, whose sum is σ = 1020021221994. Its totient is φ = 1020021221992.

The previous prime is 1020021221983. The next prime is 1020021222041. The reversal of 1020021221993 is 3991221200201.

It is a happy number.

1020021221993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 866990041129 + 153031180864 = 931123^2 + 391192^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020021221993 - 210 = 1020021220969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020021221903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510010610996 + 510010610997.

It is an arithmetic number, because the mean of its divisors is an integer number (510010610997).

Almost surely, 21020021221993 is an apocalyptic number.

It is an amenable number.

1020021221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020021221993 is an equidigital number, since it uses as much as digits as its factorization.

1020021221993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 1020021221993 in words is "one trillion, twenty billion, twenty-one million, two hundred twenty-one thousand, nine hundred ninety-three".