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422104121424100 = 22524957851531413
BaseRepresentation
bin101111111111001101100011…
…0001101110011100011100100
32001100112202111222101212000101
41133332123012031303203210
5420311223220041032400
64053423542325353444
7154624005423656443
oct13776330615634344
92040482458355011
10422104121424100
1111254a397348535
123b412734268884
131516b32b6cc16b
147633d3c8d6d5a
1533bed6be3956a
hex17fe6c63738e4

422104121424100 has 36 divisors (see below), whose sum is σ = 916150726882804. Its totient is φ = 168807587114880.

The previous prime is 422104121424091. The next prime is 422104121424101. The reversal of 422104121424100 is 1424121401224.

It can be written as a sum of positive squares in 6 ways, for example, as 10301438016 + 422093819986084 = 101496^2 + 20544922^2 .

It is a super-2 number, since 2×4221041214241002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422104121424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425270007 + ... + 426261406.

Almost surely, 2422104121424100 is an apocalyptic number.

It is an amenable number.

422104121424100 is an abundant number, since it is smaller than the sum of its proper divisors (494046605458704).

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

422104121424100 is a wasteful number, since it uses less digits than its factorization.

422104121424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851536384 (or 851536377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 422104121424100 its reverse (1424121401224), we get a palindrome (423528242825324).

The spelling of 422104121424100 in words is "four hundred twenty-two trillion, one hundred four billion, one hundred twenty-one million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4957 9914 19828 24785 49570 99140 123925 247850 495700 851531413 1703062826 3406125652 4257657065 8515314130 17030628260 21288285325 42576570650 85153141300 4221041214241 8442082428482 16884164856964 21105206071205 42210412142410 84420824284820 105526030356025 211052060712050 422104121424100