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122441304042 = 23233132053213
BaseRepresentation
bin111001000001000010…
…0100000011111101010
3102201001010220201001200
41302002010200133222
54001224433212132
6132125422025030
711563131624621
oct1620204403752
9381033821050
10122441304042
1147a21a18a72
121b891418176
13b713c05285
145cd76786b8
1532b9489d7c
hex1c821207ea

122441304042 has 24 divisors (see below), whose sum is σ = 265369696644. Its totient is φ = 40801428864.

The previous prime is 122441304031. The next prime is 122441304061. The reversal of 122441304042 is 240403144221.

122441304042 is a `hidden beast` number, since 1 + 2 + 244 + 13 + 0 + 404 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96423291441 + 26018012601 = 310521^2 + 161301^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122441303997 and 122441304015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966973 + ... + 1086240.

Almost surely, 2122441304042 is an apocalyptic number.

122441304042 is an abundant number, since it is smaller than the sum of its proper divisors (142928392602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122441304042 is a wasteful number, since it uses less digits than its factorization.

122441304042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056534 (or 2056531 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122441304042 its reverse (240403144221), we get a palindrome (362844448263).

The spelling of 122441304042 in words is "one hundred twenty-two billion, four hundred forty-one million, three hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 18 3313 6626 9939 19878 29817 59634 2053213 4106426 6159639 12319278 18478917 36957834 6802294669 13604589338 20406884007 40813768014 61220652021 122441304042