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20820784100 = 2252397524453
BaseRepresentation
bin10011011001000000…
…111111001111100100
31222202000222102100212
4103121000333033210
5320120110042400
613322005354552
71334646513314
oct233100771744
958660872325
1020820784100
118914876296
124050a08a58
131c6a756abc
141017301444
1581cd4b335
hex4d903f3e4

20820784100 has 36 divisors (see below), whose sum is σ = 45294994164. Its totient is φ = 8307319680.

The previous prime is 20820784031. The next prime is 20820784139. The reversal of 20820784100 is 148702802.

It can be written as a sum of positive squares in 6 ways, for example, as 95726656 + 20725057444 = 9784^2 + 143962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222527 + ... + 301926.

Almost surely, 220820784100 is an apocalyptic number.

20820784100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20820784100 is an abundant number, since it is smaller than the sum of its proper divisors (24474210064).

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

20820784100 is a wasteful number, since it uses less digits than its factorization.

20820784100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524864 (or 524857 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 20820784100 in words is "twenty billion, eight hundred twenty million, seven hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 19850 39700 524453 1048906 2097812 2622265 5244530 10489060 13111325 26222650 52445300 208207841 416415682 832831364 1041039205 2082078410 4164156820 5205196025 10410392050 20820784100