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22220002121000 = 2353101439501139
BaseRepresentation
bin1010000110101011111110…
…10101010101010100101000
32220200012201011010001211112
411003111333111111110220
510403023031020333000
6115131421132045452
74452225236503355
oct503257725252450
986605634101745
1022220002121000
1170974a4a17632
1225aa475903888
13c5244cb05418
1456b64d4a762c
15287ed7322235
hex14357f555528

22220002121000 has 128 divisors (see below), whose sum is σ = 52629321888000. Its totient is φ = 8779937760000.

The previous prime is 22220002120957. The next prime is 22220002121003. The reversal of 22220002121000 is 12120002222.

It is not an unprimeable number, because it can be changed into a prime (22220002121003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44088431 + ... + 44589569.

It is an arithmetic number, because the mean of its divisors is an integer number (411166577250).

Almost surely, 222220002121000 is an apocalyptic number.

22220002121000 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 22220002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314660944000).

22220002121000 is an abundant number, since it is smaller than the sum of its proper divisors (30409319767000).

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

22220002121000 is a wasteful number, since it uses less digits than its factorization.

22220002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501700 (or 501686 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22220002121000 its reverse (12120002222), we get a palindrome (22232122123222).

The spelling of 22220002121000 in words is "twenty-two trillion, two hundred twenty billion, two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 439 500 505 808 878 1000 1010 1756 2020 2195 2525 3512 4040 4390 5050 8780 10100 10975 12625 17560 20200 21950 25250 43900 44339 50500 54875 87800 88678 101000 109750 177356 219500 221695 354712 439000 443390 501139 886780 1002278 1108475 1773560 2004556 2216950 2505695 4009112 4433900 5011390 5542375 8867800 10022780 11084750 12528475 20045560 22169500 25056950 44339000 50113900 50615039 62642375 100227800 101230078 125284750 202460156 220000021 250569500 253075195 404920312 440000042 501139000 506150390 880000084 1012300780 1100000105 1265375975 1760000168 2024601560 2200000210 2530751950 4400000420 5061503900 5500000525 6326879875 8800000840 10123007800 11000001050 12653759750 22000002100 22220002121 25307519500 27500002625 44000004200 44440004242 50615039000 55000005250 88880008484 110000010500 111100010605 177760016968 220000021000 222200021210 444400042420 555500053025 888800084840 1111000106050 2222000212100 2777500265125 4444000424200 5555000530250 11110001060500 22220002121000