Search a number
-
+
10003121223301 is a prime number
BaseRepresentation
bin1001000110010000100001…
…1111001011011010000101
31022102021210201100211021101
42101210020133023122011
52302342343013121201
633135212003420101
72051462445324553
oct221441037133205
938367721324241
1010003121223301
113207333171308
121156809084631
135773a09a470b
1426822188cbd3
1512530de7ed01
hex919087cb685

10003121223301 has 2 divisors, whose sum is σ = 10003121223302. Its totient is φ = 10003121223300.

The previous prime is 10003121223287. The next prime is 10003121223307. The reversal of 10003121223301 is 10332212130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5069387340900 + 4933733882401 = 2251530^2 + 2221201^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003121223301 - 29 = 10003121222789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003121223307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001560611650 + 5001560611651.

It is an arithmetic number, because the mean of its divisors is an integer number (5001560611651).

Almost surely, 210003121223301 is an apocalyptic number.

It is an amenable number.

10003121223301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003121223301 is an equidigital number, since it uses as much as digits as its factorization.

10003121223301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10003121223301 its reverse (10332212130001), we get a palindrome (20335333353302).

The spelling of 10003121223301 in words is "ten trillion, three billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred one".