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10222022011073 is a prime number
BaseRepresentation
bin1001010010111111111111…
…1111011010100011000001
31100012012211021211000022112
42110233333333122203001
52314434200113323243
633423533155145105
72103342143323235
oct224577777324301
940165737730275
1010222022011073
113291153a35074
12119111a5a5195
13591c17a35282
14274a69c805c5
1512ad718e2818
hex94bfffda8c1

10222022011073 has 2 divisors, whose sum is σ = 10222022011074. Its totient is φ = 10222022011072.

The previous prime is 10222022010989. The next prime is 10222022011093. The reversal of 10222022011073 is 37011022022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9916597777969 + 305424233104 = 3149063^2 + 552652^2 .

It is an emirp because it is prime and its reverse (37011022022201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222022011073 is a prime.

It is a super-2 number, since 2×102220220110732 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10222022011093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111011005536 + 5111011005537.

It is an arithmetic number, because the mean of its divisors is an integer number (5111011005537).

Almost surely, 210222022011073 is an apocalyptic number.

It is an amenable number.

10222022011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222022011073 is an equidigital number, since it uses as much as digits as its factorization.

10222022011073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10222022011073 its reverse (37011022022201), we get a palindrome (47233044033274).

The spelling of 10222022011073 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, eleven thousand, seventy-three".