Search a number
-
+
122641216411 = 7831204917519
BaseRepresentation
bin111001000110111111…
…1000111001110011011
3102201120002002022021111
41302031333013032123
54002132122411121
6132201322521151
711601110065540
oct1621577071633
9381502068244
10122641216411
11480148510aa
121b9283661b7
13b74645b70c
145d16036bc7
1532cbcc82e1
hex1c8dfc739b

122641216411 has 16 divisors (see below), whose sum is σ = 141869952000. Its totient is φ = 103839977088.

The previous prime is 122641216403. The next prime is 122641216441. The reversal of 122641216411 is 114612146221.

It is a cyclic number.

It is not a de Polignac number, because 122641216411 - 23 = 122641216403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122641216441) 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 in 15 ways as a sum of consecutive naturals, for example, 6991710 + ... + 7009228.

It is an arithmetic number, because the mean of its divisors is an integer number (8866872000).

Almost surely, 2122641216411 is an apocalyptic number.

122641216411 is a deficient number, since it is larger than the sum of its proper divisors (19228735589).

122641216411 is a wasteful number, since it uses less digits than its factorization.

122641216411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29658.

The product of its digits is 4608, while the sum is 31.

The spelling of 122641216411 in words is "one hundred twenty-two billion, six hundred forty-one million, two hundred sixteen thousand, four hundred eleven".

Divisors: 1 7 83 581 12049 17519 84343 122633 1000067 1454077 7000469 10178539 211086431 1477605017 17520173773 122641216411