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20200120020 = 22325538397263
BaseRepresentation
bin10010110100000001…
…010101111011010100
31221010210002102022100
4102310001111323110
5312332212320040
613140234402100
71313402121123
oct226401257324
957123072270
1020200120020
118626494173
123ab8b90330
131b9bca4752
14d98ad9aba
157d35eab30
hex4b4055ed4

20200120020 has 288 divisors, whose sum is σ = 64076044032. Its totient is φ = 5147910144.

The previous prime is 20200120007. The next prime is 20200120091. The reversal of 20200120020 is 2002100202.

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 = 20200119984 and 20200120011.

It is a congruent number.

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, 76806409 + ... + 76806671.

It is an arithmetic number, because the mean of its divisors is an integer number (222486264).

Almost surely, 220200120020 is an apocalyptic number.

20200120020 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 20200120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32038022016).

20200120020 is an abundant number, since it is smaller than the sum of its proper divisors (43875924012).

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

20200120020 is a wasteful number, since it uses less digits than its factorization.

20200120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

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

Adding to 20200120020 its reverse (2002100202), we get a palindrome (22202220222).

The spelling of 20200120020 in words is "twenty billion, two hundred million, one hundred twenty thousand, twenty".