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10003121 is a prime number
BaseRepresentation
bin100110001010…
…001010110001
3200211012200222
4212022022301
510030044441
6554222425
7151011422
oct46121261
920735628
1010003121
115712547
123424a15
1320c310b
141485649
15d28d4b
hex98a2b1

10003121 has 2 divisors, whose sum is σ = 10003122. Its totient is φ = 10003120.

The previous prime is 10003087. The next prime is 10003127. The reversal of 10003121 is 12130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7075600 + 2927521 = 2660^2 + 1711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10003121 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 = 10003099 and 10003108.

It is not a weakly prime, because it can be changed into another prime (10003127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001560 + 5001561.

It is an arithmetic number, because the mean of its divisors is an integer number (5001561).

Almost surely, 210003121 is an apocalyptic number.

It is an amenable number.

10003121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003121 is an equidigital number, since it uses as much as digits as its factorization.

10003121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10003121 is about 3162.7710951000. The cubic root of 10003121 is about 215.4658799741.

Adding to 10003121 its reverse (12130001), we get a palindrome (22133122).

The spelling of 10003121 in words is "ten million, three thousand, one hundred twenty-one".