Search a number
-
+
122003333311021 is a prime number
BaseRepresentation
bin11011101111011000011101…
…010101111110101000101101
3120222222101221001211122000021
4123233120131111332220231
5111442400311311423041
61111251320234202141
734461310222313161
oct3357303525765055
9528871831748007
10122003333311021
1135968361040998
1211825091583351
13530cb32437416
14221adc84caca1
15e188c00b5cd1
hex6ef61d57ea2d

122003333311021 has 2 divisors, whose sum is σ = 122003333311022. Its totient is φ = 122003333311020.

The previous prime is 122003333310983. The next prime is 122003333311049. The reversal of 122003333311021 is 120113333300221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112084801914121 + 9918531396900 = 10587011^2 + 3149370^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122003333311021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122003333311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61001666655510 + 61001666655511.

It is an arithmetic number, because the mean of its divisors is an integer number (61001666655511).

Almost surely, 2122003333311021 is an apocalyptic number.

It is an amenable number.

122003333311021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122003333311021 is an equidigital number, since it uses as much as digits as its factorization.

122003333311021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 122003333311021 its reverse (120113333300221), we get a palindrome (242116666611242).

The spelling of 122003333311021 in words is "one hundred twenty-two trillion, three billion, three hundred thirty-three million, three hundred eleven thousand, twenty-one".