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1022120121013 is a prime number
BaseRepresentation
bin11101101111110110001…
…10110101001010110101
310121201021022100000000021
432313323012311022311
5113221300222333023
62101315553245141
7133563042451525
oct16677306651265
93551238300007
101022120121013
1136452a186242
12146115b637b1
1375501c87844
1437684135685
151b8c36c135d
hexedfb1b52b5

1022120121013 has 2 divisors, whose sum is σ = 1022120121014. Its totient is φ = 1022120121012.

The previous prime is 1022120120963. The next prime is 1022120121037. The reversal of 1022120121013 is 3101210212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 595270885444 + 426849235569 = 771538^2 + 653337^2 .

It is an emirp because it is prime and its reverse (3101210212201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022120121013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022120121613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511060060506 + 511060060507.

It is an arithmetic number, because the mean of its divisors is an integer number (511060060507).

Almost surely, 21022120121013 is an apocalyptic number.

It is an amenable number.

1022120121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022120121013 is an equidigital number, since it uses as much as digits as its factorization.

1022120121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1022120121013 its reverse (3101210212201), we get a palindrome (4123330333214).

The spelling of 1022120121013 in words is "one trillion, twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, thirteen".