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2022111112000 = 2653736109127
BaseRepresentation
bin11101011011001111001…
…101101110101101000000
321011022102101210201110011
4131123033031232231000
5231112240421041000
64144540042514304
7266043540566320
oct35331715565500
97138371721404
102022111112000
1170a633008571
12287a94b05994
131188b841a8b5
146dc292b5280
15378ee2582ba
hex1d6cf36eb40

2022111112000 has 112 divisors (see below), whose sum is σ = 5723152351488. Its totient is φ = 693295219200.

The previous prime is 2022111111971. The next prime is 2022111112013. The reversal of 2022111112000 is 2111112202.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17998564 + ... + 18110563.

Almost surely, 22022111112000 is an apocalyptic number.

2022111112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022111112000 is an abundant number, since it is smaller than the sum of its proper divisors (3701041239488).

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

2022111112000 is an equidigital number, since it uses as much as digits as its factorization.

2022111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36109161 (or 36109141 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2022111112000 its reverse (2111112202), we get a palindrome (2024222224202).

The spelling of 2022111112000 in words is "two trillion, twenty-two billion, one hundred eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 36109127 72218254 144436508 180545635 252763889 288873016 361091270 505527778 577746032 722182540 902728175 1011055556 1155492064 1263819445 1444365080 1805456350 2022111112 2310984128 2527638890 2888730160 3610912700 4044222224 4513640875 5055277780 5777460320 6319097225 7221825400 8088444448 9027281750 10110555560 11554920640 12638194450 14443650800 16176888896 18054563500 20221111120 25276388900 28887301600 31595486125 36109127000 40442222240 50552777800 57774603200 63190972250 72218254000 80884444480 101105555600 126381944500 144436508000 202211111200 252763889000 288873016000 404422222400 505527778000 1011055556000 2022111112000