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210112120020 = 2235111016594783
BaseRepresentation
bin1100001110101110101…
…0001000010011010100
3202002100002000121101010
43003223222020103110
511420302200320040
6240305115532220
721115526360325
oct3035352102324
9662302017333
10210112120020
11811208a5690
123487a15a070
1316a7630494a
14a2530ac44c
1556eb0cce80
hex30eba884d4

210112120020 has 192 divisors, whose sum is σ = 649270702080. Its totient is φ = 50344896000.

The previous prime is 210112119977. The next prime is 210112120021. The reversal of 210112120020 is 20021211012.

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 = 210112119978 and 210112120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112120021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43926549 + ... + 43931331.

It is an arithmetic number, because the mean of its divisors is an integer number (3381618240).

Almost surely, 2210112120020 is an apocalyptic number.

210112120020 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 210112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324635351040).

210112120020 is an abundant number, since it is smaller than the sum of its proper divisors (439158582060).

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

210112120020 is a wasteful number, since it uses less digits than its factorization.

210112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210112120020 its reverse (20021211012), we get a palindrome (230133331032).

It can be divided in two parts, 2101 and 12120020, that added together give a palindrome (12122121).

The spelling of 210112120020 in words is "two hundred ten billion, one hundred twelve million, one hundred twenty thousand, twenty".