Search a number
-
+
122040450013 is a prime number
BaseRepresentation
bin111000110101000101…
…1010111101111011101
3102200000012122012201011
41301222023113233131
53444414323400023
6132021542215221
711550163465156
oct1615213275735
9380005565634
10122040450013
114783671a449
121b79b124511
13b67bb55041
145c9a33092d
1532941a850d
hex1c6a2d7bdd

122040450013 has 2 divisors, whose sum is σ = 122040450014. Its totient is φ = 122040450012.

The previous prime is 122040449929. The next prime is 122040450019. The reversal of 122040450013 is 310054040221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105207463449 + 16832986564 = 324357^2 + 129742^2 .

It is a cyclic number.

It is not a de Polignac number, because 122040450013 - 29 = 122040449501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122040450019) 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, 61020225006 + 61020225007.

It is an arithmetic number, because the mean of its divisors is an integer number (61020225007).

Almost surely, 2122040450013 is an apocalyptic number.

It is an amenable number.

122040450013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122040450013 is an equidigital number, since it uses as much as digits as its factorization.

122040450013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 122040450013 its reverse (310054040221), we get a palindrome (432094490234).

The spelling of 122040450013 in words is "one hundred twenty-two billion, forty million, four hundred fifty thousand, thirteen".