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10203201312217 is a prime number
BaseRepresentation
bin1001010001111001111000…
…1100001001010111011001
31100010102020122100110002221
42110132132030021113121
52314132124013442332
633411141434224041
72102104561115134
oct224363614112731
940112218313087
1010203201312217
1132841761644a1
121189547585021
13590208785584
14273ba245b21b
1512a61e474297
hex9479e3095d9

10203201312217 has 2 divisors, whose sum is σ = 10203201312218. Its totient is φ = 10203201312216.

The previous prime is 10203201312151. The next prime is 10203201312259. The reversal of 10203201312217 is 71221310230201.

10203201312217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10112756163136 + 90445149081 = 3180056^2 + 300741^2 .

It is an emirp because it is prime and its reverse (71221310230201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10203201312217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10203201312191 and 10203201312200.

It is not a weakly prime, because it can be changed into another prime (10203201312617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101600656108 + 5101600656109.

It is an arithmetic number, because the mean of its divisors is an integer number (5101600656109).

Almost surely, 210203201312217 is an apocalyptic number.

It is an amenable number.

10203201312217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10203201312217 is an equidigital number, since it uses as much as digits as its factorization.

10203201312217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10203201312217 its reverse (71221310230201), we get a palindrome (81424511542418).

The spelling of 10203201312217 in words is "ten trillion, two hundred three billion, two hundred one million, three hundred twelve thousand, two hundred seventeen".