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1022010101093 is a prime number
BaseRepresentation
bin11101101111101001000…
…11001000110101100101
310121200222122022102001102
432313310203020311211
5113221034041213333
62101301023205445
7133560235344662
oct16676443106545
93550878272042
101022010101093
11364483070693
121460a5146885
13754b52463b7
1437673696a69
151b8b8bdcae8
hexedf48c8d65

1022010101093 has 2 divisors, whose sum is σ = 1022010101094. Its totient is φ = 1022010101092.

The previous prime is 1022010101071. The next prime is 1022010101159. The reversal of 1022010101093 is 3901010102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 532735032769 + 489275068324 = 729887^2 + 699482^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022010101093 - 212 = 1022010096997 is a prime.

It is a super-2 number, since 2×10220101010932 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022010101053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511005050546 + 511005050547.

It is an arithmetic number, because the mean of its divisors is an integer number (511005050547).

Almost surely, 21022010101093 is an apocalyptic number.

It is an amenable number.

1022010101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022010101093 is an equidigital number, since it uses as much as digits as its factorization.

1022010101093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1022010101093 its reverse (3901010102201), we get a palindrome (4923020203294).

The spelling of 1022010101093 in words is "one trillion, twenty-two billion, ten million, one hundred one thousand, ninety-three".