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200120200020 = 223351343662957
BaseRepresentation
bin1011101001100000010…
…1111110101101010100
3201010112201110110221000
42322120011332231110
511234321232400040
6231533422223300
720313110430246
oct2723005765524
9633481413830
10200120200020
11779636aa264
123294ba24b30
1315b431b6150
149986050096
155313cb9130
hex2e9817eb54

200120200020 has 192 divisors, whose sum is σ = 686081975040. Its totient is φ = 48114694656.

The previous prime is 200120199971. The next prime is 200120200051. The reversal of 200120200020 is 20002021002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200120199975 and 200120200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29619 + ... + 633338.

It is an arithmetic number, because the mean of its divisors is an integer number (3573343620).

Almost surely, 2200120200020 is an apocalyptic number.

200120200020 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 200120200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343040987520).

200120200020 is an abundant number, since it is smaller than the sum of its proper divisors (485961775020).

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

200120200020 is a wasteful number, since it uses less digits than its factorization.

200120200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663031 (or 663023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200120200020 its reverse (20002021002), we get a palindrome (220122221022).

The spelling of 200120200020 in words is "two hundred billion, one hundred twenty million, two hundred thousand, twenty".