Search a number
-
+
10332233121101 is a prime number
BaseRepresentation
bin1001011001011010100100…
…0101011011110101001101
31100120202022002110111012112
42112112221011123311031
52323240403134333401
633550321245513405
72114323240312643
oct226265105336515
940522262414175
1010332233121101
11332396a266281
1211aa557b72865
1359c42cba9348
1427a1230d9193
1512db722db3bb
hex965a915bd4d

10332233121101 has 2 divisors, whose sum is σ = 10332233121102. Its totient is φ = 10332233121100.

The previous prime is 10332233121043. The next prime is 10332233121143. The reversal of 10332233121101 is 10112133223301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8811576664900 + 1520656456201 = 2968430^2 + 1233149^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332233121101 - 26 = 10332233121037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10332233121151) 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, 5166116560550 + 5166116560551.

It is an arithmetic number, because the mean of its divisors is an integer number (5166116560551).

Almost surely, 210332233121101 is an apocalyptic number.

It is an amenable number.

10332233121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332233121101 is an equidigital number, since it uses as much as digits as its factorization.

10332233121101 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 10332233121101 its reverse (10112133223301), we get a palindrome (20444366344402).

The spelling of 10332233121101 in words is "ten trillion, three hundred thirty-two billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred one".