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20021000010120 = 23325619711383177
BaseRepresentation
bin1001000110101100000001…
…00101111111100110001000
32121212222200220200112220100
410203112000211333212020
510111011002000310440
6110325304225125400
74134320021121114
oct443260045774610
977788626615810
1020021000010120
1164199496174aa
1222b4254489860
13b22c83c00325
144d3043294744
1524abd37d6230
hex12358097f988

20021000010120 has 384 divisors, whose sum is σ = 67408855244640. Its totient is φ = 5151216107520.

The previous prime is 20021000010119. The next prime is 20021000010131. The reversal of 20021000010120 is 2101000012002.

It can be written as a sum of positive squares in 16 ways, for example, as 1841845265316 + 18179154744804 = 1357146^2 + 4263702^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240661972 + ... + 240745148.

Almost surely, 220021000010120 is an apocalyptic number.

20021000010120 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 20021000010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33704427622320).

20021000010120 is an abundant number, since it is smaller than the sum of its proper divisors (47387855234520).

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

20021000010120 is a wasteful number, since it uses less digits than its factorization.

20021000010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83465 (or 83458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20021000010120 its reverse (2101000012002), we get a palindrome (22122000022122).

The spelling of 20021000010120 in words is "twenty trillion, twenty-one billion, ten thousand, one hundred twenty".