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10202210202073 is a prime number
BaseRepresentation
bin1001010001110110001100…
…0111010111000111011001
31100010022200120101211120211
42110131203013113013121
52314123111302431243
633410455231251121
72102041164611161
oct224354307270731
940108616354524
1010202210202073
1132838077627aa
12118930b679aa1
135900ab33b876
14273b0a9855a1
1512a5b244bd9d
hex947631d71d9

10202210202073 has 2 divisors, whose sum is σ = 10202210202074. Its totient is φ = 10202210202072.

The previous prime is 10202210201971. The next prime is 10202210202077. The reversal of 10202210202073 is 37020201220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5896971143424 + 4305239058649 = 2428368^2 + 2074907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202210202073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202210202077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101105101036 + 5101105101037.

It is an arithmetic number, because the mean of its divisors is an integer number (5101105101037).

Almost surely, 210202210202073 is an apocalyptic number.

It is an amenable number.

10202210202073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202210202073 is an equidigital number, since it uses as much as digits as its factorization.

10202210202073 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 22.

Adding to 10202210202073 its reverse (37020201220201), we get a palindrome (47222411422274).

The spelling of 10202210202073 in words is "ten trillion, two hundred two billion, two hundred ten million, two hundred two thousand, seventy-three".