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1022220020200 = 235236493140057
BaseRepresentation
bin11101110000000010000…
…11111010100111101000
310121201112021022101221011
432320001003322213220
5113222001311121300
62101333522353304
7133565364544021
oct16700103724750
93551467271834
101022220020200
11364580608a55
121461434bb834
13755198944a2
14376934dbc48
151b8cc355eba
hexee010fa9e8

1022220020200 has 48 divisors (see below), whose sum is σ = 2376743643180. Its totient is φ = 408873884160.

The previous prime is 1022220020153. The next prime is 1022220020203. The reversal of 1022220020200 is 20200222201.

It can be written as a sum of positive squares in 6 ways, for example, as 6160052196 + 1016059968004 = 78486^2 + 1007998^2 .

It is not an unprimeable number, because it can be changed into a prime (1022220020203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7228572 + ... + 7368628.

Almost surely, 21022220020200 is an apocalyptic number.

1022220020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022220020200 is an abundant number, since it is smaller than the sum of its proper divisors (1354523622980).

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

1022220020200 is a wasteful number, since it uses less digits than its factorization.

1022220020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176566 (or 176557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 1022220020200 its reverse (20200222201), we get a palindrome (1042420242401).

The spelling of 1022220020200 in words is "one trillion, twenty-two billion, two hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 36493 72986 140057 145972 182465 280114 291944 364930 560228 700285 729860 912325 1120456 1400570 1459720 1824650 2801140 3501425 3649300 5602280 7002850 7298600 14005700 28011400 5111100101 10222200202 20444400404 25555500505 40888800808 51111001010 102222002020 127777502525 204444004040 255555005050 511110010100 1022220020200