Search a number
-
+
103233011123201 is a prime number
BaseRepresentation
bin10111011110001111001110…
…111101010000010000000001
3111112111222110001010022002212
4113132033032331100100001
5102012332201321420301
61003320331323151505
730513224152233131
oct2736171675202001
9445458401108085
10103233011123201
112a990968555553
12b6b32ba675595
13457aaa61374bb
141b6c70c0d4ac1
15be04da6014bb
hex5de3cef50401

103233011123201 has 2 divisors, whose sum is σ = 103233011123202. Its totient is φ = 103233011123200.

The previous prime is 103233011123191. The next prime is 103233011123267. The reversal of 103233011123201 is 102321110332301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98944897881025 + 4288113242176 = 9947105^2 + 2070776^2 .

It is a cyclic number.

It is not a de Polignac number, because 103233011123201 - 234 = 103215831254017 is a prime.

It is not a weakly prime, because it can be changed into another prime (103233011120201) 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, 51616505561600 + 51616505561601.

It is an arithmetic number, because the mean of its divisors is an integer number (51616505561601).

Almost surely, 2103233011123201 is an apocalyptic number.

It is an amenable number.

103233011123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

103233011123201 is an equidigital number, since it uses as much as digits as its factorization.

103233011123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 103233011123201 its reverse (102321110332301), we get a palindrome (205554121455502).

The spelling of 103233011123201 in words is "one hundred three trillion, two hundred thirty-three billion, eleven million, one hundred twenty-three thousand, two hundred one".