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20420123220 = 223357291091709
BaseRepresentation
bin10011000001001000…
…100101101001010100
31221201010001201222000
4103001020211221110
5313310022420340
613214134035300
71322013116640
oct230110455124
957633051860
1020420123220
1187296998a2
123b5a7a8b30
131c05743763
14dba007c20
157e7aa6d30
hex4c1225a54

20420123220 has 384 divisors, whose sum is σ = 75841920000. Its totient is φ = 4462553088.

The previous prime is 20420123209. The next prime is 20420123221. The reversal of 20420123220 is 2232102402.

20420123220 is a `hidden beast` number, since 2 + 0 + 420 + 1 + 23 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20420123193 and 20420123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420123221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11947726 + ... + 11949434.

It is an arithmetic number, because the mean of its divisors is an integer number (197505000).

Almost surely, 220420123220 is an apocalyptic number.

20420123220 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 20420123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960000).

20420123220 is an abundant number, since it is smaller than the sum of its proper divisors (55421796780).

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

20420123220 is a wasteful number, since it uses less digits than its factorization.

20420123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

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

Adding to 20420123220 its reverse (2232102402), we get a palindrome (22652225622).

The spelling of 20420123220 in words is "twenty billion, four hundred twenty million, one hundred twenty-three thousand, two hundred twenty".