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422334034340100 = 223523145412261757
BaseRepresentation
bin110000000000111000100111…
…0000101111110100100000100
32001101100201222000010010002120
41200001301032011332210010
5420324010100242340400
64054121324341205540
7154646425036343211
oct14001611605764404
92041321860103076
10422334034340100
11112628949183213
123b44b1b97008b0
1315186c0c04281c
14764110d634b08
1533c5d26534ca0
hex1801c4e17e904

422334034340100 has 72 divisors (see below), whose sum is σ = 1261370982590208. Its totient is φ = 108989428214400.

The previous prime is 422334034340083. The next prime is 422334034340117. The reversal of 422334034340100 is 1043430433224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422334034340083) and next prime (422334034340117).

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 23 ways as a sum of consecutive naturals, for example, 22706121579 + ... + 22706140178.

It is an arithmetic number, because the mean of its divisors is an integer number (17519041424864).

Almost surely, 2422334034340100 is an apocalyptic number.

It is an amenable number.

422334034340100 is an abundant number, since it is smaller than the sum of its proper divisors (839036948250108).

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

422334034340100 is a wasteful number, since it uses less digits than its factorization.

422334034340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45412261805 (or 45412261798 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 422334034340100 its reverse (1043430433224), we get a palindrome (423377464773324).

The spelling of 422334034340100 in words is "four hundred twenty-two trillion, three hundred thirty-four billion, thirty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 45412261757 90824523514 136236785271 181649047028 227061308785 272473570542 454122617570 544947141084 681183926355 908245235140 1135306543925 1362367852710 1407780114467 2270613087850 2724735705420 2815560228934 3405919631775 4223340343401 4541226175700 5631120457868 6811839263550 7038900572335 8446680686802 13623678527100 14077801144670 16893361373604 21116701717005 28155602289340 35194502861675 42233403434010 70389005723350 84466806868020 105583508585025 140778011446700 211167017170050 422334034340100