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20202020210000 = 245417241493093
BaseRepresentation
bin1001001011111101001100…
…01111010000010101010000
32122112021221112010111021202
410211332212033100111100
510121442214133210000
6110544402512210332
74153355615332646
oct445764617202520
978467845114252
1020202020210000
1164896a0819982
1223233538399a8
13b37072005135
144dbad6779196
1525077a860dd5
hex125fa63d0550

20202020210000 has 200 divisors, whose sum is σ = 52003229720904. Its totient is φ = 7573893120000.

The previous prime is 20202020209999. The next prime is 20202020210003. The reversal of 20202020210000 is 1202020202.

It can be written as a sum of positive squares in 20 ways, for example, as 10670179042576 + 9531841167424 = 3266524^2 + 3087368^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202020210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40723454 + ... + 41216546.

Almost surely, 220202020210000 is an apocalyptic number.

20202020210000 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 20202020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26001614860452).

20202020210000 is an abundant number, since it is smaller than the sum of its proper divisors (31801209510904).

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

20202020210000 is a wasteful number, since it uses less digits than its factorization.

20202020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493379 (or 493358 counting only the distinct ones).

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

Adding to 20202020210000 its reverse (1202020202), we get a palindrome (20203222230202).

It can be divided in two parts, 202020202 and 10000, that added together give a palindrome (202030202).

The spelling of 20202020210000 in words is "twenty trillion, two hundred two billion, twenty million, two hundred ten thousand".