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2100020220020 = 225172973607037
BaseRepresentation
bin11110100011110010111…
…101011001000001110100
321102202112000112110212102
4132203302331121001310
5233401320134020040
64244422545241232
7304502313230042
oct36436275310164
97382460473772
102100020220020
1173a682737548
1229abb8633218
13123053303408
14738da495392
153995ddad515
hex1e8f2f59074

2100020220020 has 24 divisors (see below), whose sum is σ = 4410075222504. Its totient is φ = 840001847936.

The previous prime is 2100020220017. The next prime is 2100020220029. The reversal of 2100020220020 is 200220200012.

It can be written as a sum of positive squares in 4 ways, for example, as 330114597136 + 1769905622884 = 574556^2 + 1330378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100020219983 and 2100020220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100020220029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3155942 + ... + 3762978.

It is an arithmetic number, because the mean of its divisors is an integer number (183753134271).

Almost surely, 22100020220020 is an apocalyptic number.

2100020220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100020220020 is an abundant number, since it is smaller than the sum of its proper divisors (2310055002484).

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

2100020220020 is a wasteful number, since it uses less digits than its factorization.

2100020220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780019 (or 780017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2100020220020 its reverse (200220200012), we get a palindrome (2300240420032).

The spelling of 2100020220020 in words is "two trillion, one hundred billion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 172973 345946 607037 691892 864865 1214074 1729730 2428148 3035185 3459460 6070370 12140740 105001011001 210002022002 420004044004 525005055005 1050010110010 2100020220020