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210020020020 = 223351453267671
BaseRepresentation
bin1100001110011000101…
…0110010111100110100
3202002002122201102221000
43003212022302330310
511420110111120040
6240252025523300
721113330500236
oct3034612627464
9662078642830
10210020020020
118108390a588
1234853343530
1316a601c8bc5
14a244b76256
1556e2e89130
hex30e62b2f34

210020020020 has 96 divisors (see below), whose sum is σ = 653847747840. Its totient is φ = 55966584960.

The previous prime is 210020020013. The next prime is 210020020051. The reversal of 210020020020 is 20020020012.

210020020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 210020019984 and 210020020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650785 + ... + 918455.

It is an arithmetic number, because the mean of its divisors is an integer number (6810914040).

Almost surely, 2210020020020 is an apocalyptic number.

210020020020 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 210020020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326923873920).

210020020020 is an abundant number, since it is smaller than the sum of its proper divisors (443827727820).

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

210020020020 is a wasteful number, since it uses less digits than its factorization.

210020020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269142 (or 269134 counting only the distinct ones).

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

Adding to 210020020020 its reverse (20020020012), we get a palindrome (230040040032).

The spelling of 210020020020 in words is "two hundred ten billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1453 2906 4359 5812 7265 8718 13077 14530 17436 21795 26154 29060 39231 43590 52308 65385 78462 87180 130770 156924 196155 261540 267671 392310 535342 784620 803013 1070684 1338355 1606026 2409039 2676710 3212052 4015065 4818078 5353420 7227117 8030130 9636156 12045195 14454234 16060260 24090390 28908468 36135585 48180780 72271170 144542340 388925963 777851926 1166777889 1555703852 1944629815 2333555778 3500333667 3889259630 4667111556 5833889445 7000667334 7778519260 10501001001 11667778890 14001334668 17501668335 21002002002 23335557780 35003336670 42004004004 52505005005 70006673340 105010010010 210020020020