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10042020122033 is a prime number
BaseRepresentation
bin1001001000100001011100…
…0010101100110110110001
31022120000012122111121210102
42102020113002230312301
52304012024122401113
633205123530042145
72054340422444564
oct222102702546661
938500178447712
1010042020122033
1132218846226a9
121162264279355
1357ac5c8abc63
1426a071b124db
15126338e64758
hex922170acdb1

10042020122033 has 2 divisors, whose sum is σ = 10042020122034. Its totient is φ = 10042020122032.

The previous prime is 10042020121963. The next prime is 10042020122083. The reversal of 10042020122033 is 33022102024001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9988204009744 + 53816112289 = 3160412^2 + 231983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042020122033 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10042020121996 and 10042020122014.

It is not a weakly prime, because it can be changed into another prime (10042020122083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021010061016 + 5021010061017.

It is an arithmetic number, because the mean of its divisors is an integer number (5021010061017).

Almost surely, 210042020122033 is an apocalyptic number.

It is an amenable number.

10042020122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042020122033 is an equidigital number, since it uses as much as digits as its factorization.

10042020122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10042020122033 its reverse (33022102024001), we get a palindrome (43064122146034).

The spelling of 10042020122033 in words is "ten trillion, forty-two billion, twenty million, one hundred twenty-two thousand, thirty-three".