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10204103210033 is a prime number
BaseRepresentation
bin1001010001111101001111…
…1100100111010000110001
31100010111120111102121022202
42110133103330213100301
52314141000410210113
633411411133112545
72102136122116625
oct224372374472061
940114514377282
1010204103210033
113284599272697
121189759628755
13590320594a15
14273c4a14d185
1512a673728258
hex947d3f27431

10204103210033 has 2 divisors, whose sum is σ = 10204103210034. Its totient is φ = 10204103210032.

The previous prime is 10204103210011. The next prime is 10204103210051. The reversal of 10204103210033 is 33001230140201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9590870129569 + 613233080464 = 3096913^2 + 783092^2 .

It is a cyclic number.

It is not a de Polignac number, because 10204103210033 - 220 = 10204102161457 is a prime.

It is a super-2 number, since 2×102041032100332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10204103209987 and 10204103210014.

It is not a weakly prime, because it can be changed into another prime (10204103240033) 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, 5102051605016 + 5102051605017.

It is an arithmetic number, because the mean of its divisors is an integer number (5102051605017).

Almost surely, 210204103210033 is an apocalyptic number.

It is an amenable number.

10204103210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204103210033 is an equidigital number, since it uses as much as digits as its factorization.

10204103210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10204103210033 its reverse (33001230140201), we get a palindrome (43205333350234).

The spelling of 10204103210033 in words is "ten trillion, two hundred four billion, one hundred three million, two hundred ten thousand, thirty-three".