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10222021111013 is a prime number
BaseRepresentation
bin1001010010111111111111…
…1011111110110011100101
31100012012211020010021122222
42110233333323332303211
52314434144401023023
633423533124002125
72103342132554165
oct224577773766345
940165736107588
1010222021111013
11329115347a918
12119111a230345
13591c177ab6aa
14274a69ac85a5
1512ad717b5cc8
hex94bffefece5

10222021111013 has 2 divisors, whose sum is σ = 10222021111014. Its totient is φ = 10222021111012.

The previous prime is 10222021111009. The next prime is 10222021111121. The reversal of 10222021111013 is 31011112022201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10035001189249 + 187019921764 = 3167807^2 + 432458^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222021111013 - 22 = 10222021111009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10222021110982 and 10222021111000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222021111513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111010555506 + 5111010555507.

It is an arithmetic number, because the mean of its divisors is an integer number (5111010555507).

Almost surely, 210222021111013 is an apocalyptic number.

It is an amenable number.

10222021111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222021111013 is an equidigital number, since it uses as much as digits as its factorization.

10222021111013 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 17.

Adding to 10222021111013 its reverse (31011112022201), we get a palindrome (41233133133214).

The spelling of 10222021111013 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, one hundred eleven thousand, thirteen".