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2102020000 = 2554227463
BaseRepresentation
bin111110101001010…
…0100011110100000
312102111022200100121
41331102210132200
513301104120000
6544325330024
7103042606123
oct17522443640
95374280317
102102020000
11989598813
124a7b66914
13276647422
1415d2543ba
15c4815b1a
hex7d4a47a0

2102020000 has 120 divisors (see below), whose sum is σ = 5205283776. Its totient is φ = 835296000.

The previous prime is 2102019977. The next prime is 2102020003. The reversal of 2102020000 is 202012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4539769 + ... + 4540231.

Almost surely, 22102020000 is an apocalyptic number.

2102020000 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 2102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602641888).

2102020000 is an abundant number, since it is smaller than the sum of its proper divisors (3103263776).

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

2102020000 is an equidigital number, since it uses as much as digits as its factorization.

2102020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2102020000 is about 45847.7916589229. The cubic root of 2102020000 is about 1280.9896318046.

Adding to 2102020000 its reverse (202012), we get a palindrome (2102222012).

The spelling of 2102020000 in words is "two billion, one hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 454 463 500 625 800 908 926 1000 1135 1250 1816 1852 2000 2270 2315 2500 3632 3704 4000 4540 4630 5000 5675 7264 7408 9080 9260 10000 11350 11575 14816 18160 18520 20000 22700 23150 28375 36320 37040 45400 46300 56750 57875 74080 90800 92600 105101 113500 115750 141875 181600 185200 210202 227000 231500 283750 289375 370400 420404 454000 463000 525505 567500 578750 840808 908000 926000 1051010 1135000 1157500 1681616 1852000 2102020 2270000 2315000 2627525 3363232 4204040 4540000 4630000 5255050 8408080 9260000 10510100 13137625 16816160 21020200 26275250 42040400 52550500 65688125 84080800 105101000 131376250 210202000 262752500 420404000 525505000 1051010000 2102020000