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122433420505 = 5113795363131
BaseRepresentation
bin111001000000110011…
…0011011110011011001
3102201000121002011212211
41302001212123303121
54001220423424010
6132124541035121
711563004621554
oct1620146336331
9381017064784
10122433420505
1147a18523a50
121b88a855aa1
13b7123a4b66
145cd65c569b
1532b892e08a
hex1c8199bcd9

122433420505 has 32 divisors (see below), whose sum is σ = 164783611008. Its totient is φ = 86543654400.

The previous prime is 122433420469. The next prime is 122433420511. The reversal of 122433420505 is 505024334221.

It is not a de Polignac number, because 122433420505 - 29 = 122433419993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 1907790 + ... + 1970920.

It is an arithmetic number, because the mean of its divisors is an integer number (5149487844).

Almost surely, 2122433420505 is an apocalyptic number.

It is an amenable number.

122433420505 is a deficient number, since it is larger than the sum of its proper divisors (42350190503).

122433420505 is a wasteful number, since it uses less digits than its factorization.

122433420505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64137.

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 122433420505 its reverse (505024334221), we get a palindrome (627457754726).

The spelling of 122433420505 in words is "one hundred twenty-two billion, four hundred thirty-three million, four hundred twenty thousand, five hundred five".

Divisors: 1 5 11 37 55 185 407 953 2035 4765 10483 35261 52415 63131 176305 315655 387871 694441 1939355 2335847 3472205 11679235 25694317 60163843 128471585 300819215 661802273 2226062191 3309011365 11130310955 24486684101 122433420505