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10310203121 is a prime number
BaseRepresentation
bin10011001101000100…
…10011011011110001
3222121112110120210212
421212202103123301
5132103402444441
64423023233505
7513332165141
oct114642233361
928545416725
1010310203121
114410928229
121bb8a48895
13c8404b40a
146db430921
15405234eeb
hex2668936f1

10310203121 has 2 divisors, whose sum is σ = 10310203122. Its totient is φ = 10310203120.

The previous prime is 10310203087. The next prime is 10310203199. The reversal of 10310203121 is 12130201301.

10310203121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7645578721 + 2664624400 = 87439^2 + 51620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10310203121 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 = 10310203096 and 10310203105.

It is not a weakly prime, because it can be changed into another prime (10310202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155101560 + 5155101561.

It is an arithmetic number, because the mean of its divisors is an integer number (5155101561).

Almost surely, 210310203121 is an apocalyptic number.

It is an amenable number.

10310203121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10310203121 is an equidigital number, since it uses as much as digits as its factorization.

10310203121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10310203121 its reverse (12130201301), we get a palindrome (22440404422).

The spelling of 10310203121 in words is "ten billion, three hundred ten million, two hundred three thousand, one hundred twenty-one".