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20422044100 = 22521932833739
BaseRepresentation
bin10011000001001111…
…111010100111000100
31221201020200022220201
4103001033322213010
5313311020402400
613214243140244
71322035340113
oct230117724704
957636608821
1020422044100
11872a790aa7
123b5b374684
131c05c66b83
14dba387c7a
157e7d3606a
hex4c13fa9c4

20422044100 has 72 divisors (see below), whose sum is σ = 44714811680. Its totient is φ = 8095610880.

The previous prime is 20422044061. The next prime is 20422044101. The reversal of 20422044100 is 144022402.

It is not an unprimeable number, because it can be changed into a prime (20422044101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5460031 + ... + 5463769.

Almost surely, 220422044100 is an apocalyptic number.

20422044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357405840).

20422044100 is an abundant number, since it is smaller than the sum of its proper divisors (24292767580).

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

20422044100 is a wasteful number, since it uses less digits than its factorization.

20422044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20422044100 its reverse (144022402), we get a palindrome (20566066502).

The spelling of 20422044100 in words is "twenty billion, four hundred twenty-two million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 283 386 566 772 965 1132 1415 1930 2830 3739 3860 4825 5660 7075 7478 9650 14150 14956 18695 19300 28300 37390 54619 74780 93475 109238 186950 218476 273095 373900 546190 721627 1058137 1092380 1365475 1443254 2116274 2730950 2886508 3608135 4232548 5290685 5461900 7216270 10581370 14432540 18040675 21162740 26453425 36081350 52906850 72162700 105813700 204220441 408440882 816881764 1021102205 2042204410 4084408820 5105511025 10211022050 20422044100