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202011220112200 = 235229160012176709
BaseRepresentation
bin101101111011101001100111…
…000000111111001101001000
3222111021002021021002122221121
4231323221213000333031020
5202434222434322042300
61553350401240245024
760356554232230132
oct5573514700771510
9874232237078847
10202011220112200
1159404528371534
121a7a7164a70774
1388947652273a5
1437c55766c0052
151854b970d981a
hexb7ba6703f348

202011220112200 has 96 divisors (see below), whose sum is σ = 485902402209000. Its totient is φ = 78013214720000.

The previous prime is 202011220112183. The next prime is 202011220112203. The reversal of 202011220112200 is 2211022110202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 29119384552644 + 172891835559556 = 5396238^2 + 13148834^2 .

It is not an unprimeable number, because it can be changed into a prime (202011220112203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91717446 + ... + 93894154.

Almost surely, 2202011220112200 is an apocalyptic number.

202011220112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202011220112200 is an abundant number, since it is smaller than the sum of its proper divisors (283891182096800).

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

202011220112200 is a wasteful number, since it uses less digits than its factorization.

202011220112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192755 (or 2192746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202011220112200 its reverse (2211022110202), we get a palindrome (204222242222402).

The spelling of 202011220112200 in words is "two hundred two trillion, eleven billion, two hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 16001 32002 64004 80005 128008 160010 320020 400025 464029 640040 800050 928058 1600100 1856116 2176709 2320145 3200200 3712232 4353418 4640290 8706836 9280580 10883545 11600725 17413672 18561160 21767090 23201450 43534180 46402900 54417725 63124561 87068360 92805800 108835450 126249122 217670900 252498244 315622805 435341800 504996488 631245610 1262491220 1578114025 2524982440 3156228050 6312456100 12624912200 34829520709 69659041418 139318082836 174147603545 278636165672 348295207090 696590414180 870738017725 1010056100561 1393180828360 1741476035450 2020112201122 3482952070900 4040224402244 5050280502805 6965904141800 8080448804488 10100561005610 20201122011220 25251402514025 40402244022440 50502805028050 101005610056100 202011220112200