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123320780820 = 22325838254403
BaseRepresentation
bin111001011011001111…
…1011100100000010100
3102210022102210202101200
41302312133130200110
54010030104441240
6132353000152500
711624001225066
oct1626637344024
9383272722350
10123320780820
1148333402986
121ba97a68730
13b824194333
145d7c3b1736
15331b7b0930
hex1cb67dc814

123320780820 has 72 divisors (see below), whose sum is σ = 378579985056. Its totient is φ = 32489326272.

The previous prime is 123320780819. The next prime is 123320780827. The reversal of 123320780820 is 28087023321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320780827) 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 in 23 ways as a sum of consecutive naturals, for example, 4112262 + ... + 4142141.

It is an arithmetic number, because the mean of its divisors is an integer number (5258055348).

Almost surely, 2123320780820 is an apocalyptic number.

123320780820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123320780820 is an abundant number, since it is smaller than the sum of its proper divisors (255259204236).

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

123320780820 is a wasteful number, since it uses less digits than its factorization.

123320780820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254501 (or 8254496 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 123320780820 in words is "one hundred twenty-three billion, three hundred twenty million, seven hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 8254403 16508806 24763209 33017612 41272015 49526418 74289627 82544030 99052836 123816045 148579254 165088060 247632090 297158508 371448135 495264180 685115449 742896270 1370230898 1485792540 2055346347 2740461796 3425577245 4110692694 6166039041 6851154490 8221385388 10276731735 12332078082 13702308980 20553463470 24664156164 30830195205 41106926940 61660390410 123320780820