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122111440013 is a prime number
BaseRepresentation
bin111000110111001101…
…0001011010010001101
3102200012011012212200102
41301232122023102031
54000041012040023
6132032555540445
711552015054123
oct1615632132215
9380164185612
10122111440013
11478727a7272
121b7baa5a725
13b69077c364
145ca592d913
15329a52c628
hex1c6e68b48d

122111440013 has 2 divisors, whose sum is σ = 122111440014. Its totient is φ = 122111440012.

The previous prime is 122111439971. The next prime is 122111440063. The reversal of 122111440013 is 310044111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119558967529 + 2552472484 = 345773^2 + 50522^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111440013 - 28 = 122111439757 is a prime.

It is a super-2 number, since 2×1221114400132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111440063) 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, 61055720006 + 61055720007.

It is an arithmetic number, because the mean of its divisors is an integer number (61055720007).

Almost surely, 2122111440013 is an apocalyptic number.

It is an amenable number.

122111440013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111440013 is an equidigital number, since it uses as much as digits as its factorization.

122111440013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122111440013 its reverse (310044111221), we get a palindrome (432155551234).

The spelling of 122111440013 in words is "one hundred twenty-two billion, one hundred eleven million, four hundred forty thousand, thirteen".