Search a number
-
+
20422340100 = 22325222691489
BaseRepresentation
bin10011000001010001…
…000010111000000100
31221201021020100221200
4103001101002320010
5313311104340400
613214253342500
71322041012101
oct230121027004
957637210850
1020422340100
11872a973428
123b5b497a30
131c0603b816
14dba423aa8
157e7d93b00
hex4c1442e04

20422340100 has 54 divisors (see below), whose sum is σ = 64012693290. Its totient is φ = 5445957120.

The previous prime is 20422340093. The next prime is 20422340111. The reversal of 20422340100 is 104322402.

20422340100 is a `hidden beast` number, since 204 + 22 + 340 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2654516484 + 17767823616 = 51522^2 + 133296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11344845 + ... + 11346644.

Almost surely, 220422340100 is an apocalyptic number.

20422340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20422340100 is an abundant number, since it is smaller than the sum of its proper divisors (43590353190).

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

20422340100 is a wasteful number, since it uses less digits than its factorization.

20422340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22691509 (or 22691499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20422340100 its reverse (104322402), we get a palindrome (20526662502).

The spelling of 20422340100 in words is "twenty billion, four hundred twenty-two million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22691489 45382978 68074467 90765956 113457445 136148934 204223401 226914890 272297868 340372335 408446802 453829780 567287225 680744670 816893604 1021117005 1134574450 1361489340 1701861675 2042234010 2269148900 3403723350 4084468020 5105585025 6807446700 10211170050 20422340100