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20020221010020 = 223572112350952879
BaseRepresentation
bin1001000110101010100100…
…01010010110000001100100
32121212220200121212020122210
410203111102022112001210
510111002403034310040
6110325055040323420
74134261511536600
oct443252212260144
977786617766583
1020020221010020
11641958991a170
1222b4077613570
13b22b8b6c0a1a
144d2daba34500
1524ab8a20b480
hex123552296064

20020221010020 has 576 divisors, whose sum is σ = 74376929894400. Its totient is φ = 3971281628160.

The previous prime is 20020221010019. The next prime is 20020221010057. The reversal of 20020221010020 is 2001012202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20020221009978 and 20020221010005.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 378577941 + ... + 378630819.

It is an arithmetic number, because the mean of its divisors is an integer number (129126614400).

Almost surely, 220020221010020 is an apocalyptic number.

20020221010020 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 20020221010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37188464947200).

20020221010020 is an abundant number, since it is smaller than the sum of its proper divisors (54356708884380).

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

20020221010020 is a wasteful number, since it uses less digits than its factorization.

20020221010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53448 (or 53439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020221010020 its reverse (2001012202002), we get a palindrome (22021233212022).

The spelling of 20020221010020 in words is "twenty trillion, twenty billion, two hundred twenty-one million, ten thousand, twenty".