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22101111000120 = 2335316788674013
BaseRepresentation
bin1010000011001110100001…
…10111101100110000111000
32220020211211102111100112010
411001213100313230300320
510344101033404000440
6115001035450445520
74440516063604605
oct501472067546070
986224742440463
1022101111000120
117051034a91839
12258b4154338a0
13c4418358a359
145659b15316ac
15284d798a8580
hex1419d0decc38

22101111000120 has 128 divisors (see below), whose sum is σ = 69463675607040. Its totient is φ = 5618385400320.

The previous prime is 22101111000109. The next prime is 22101111000127. The reversal of 22101111000120 is 2100011110122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22101111000096 and 22101111000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101111000127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44087767 + ... + 44586246.

It is an arithmetic number, because the mean of its divisors is an integer number (542684965680).

Almost surely, 222101111000120 is an apocalyptic number.

22101111000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101111000120 is an abundant number, since it is smaller than the sum of its proper divisors (47362564606920).

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

22101111000120 is a wasteful number, since it uses less digits than its factorization.

22101111000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88674125 (or 88674121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22101111000120 its reverse (2100011110122), we get a palindrome (24201122110242).

The spelling of 22101111000120 in words is "twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 310 335 372 402 465 536 620 670 744 804 930 1005 1240 1340 1608 1860 2010 2077 2680 3720 4020 4154 6231 8040 8308 10385 12462 16616 20770 24924 31155 41540 49848 62310 83080 124620 249240 88674013 177348026 266022039 354696052 443370065 532044078 709392104 886740130 1064088156 1330110195 1773480260 2128176312 2660220390 2748894403 3546960520 5320440780 5497788806 5941158871 8246683209 10640881560 10995577612 11882317742 13744472015 16493366418 17823476613 21991155224 23764635484 27488944030 29705794355 32986732836 35646953226 41233416045 47529270968 54977888060 59411588710 65973465672 71293906452 82466832090 89117383065 109955776120 118823177420 142587812904 164933664180 178234766130 184175925001 237646354840 329867328360 356469532260 368351850002 552527775003 712939064520 736703700004 920879625005 1105055550006 1473407400008 1841759250010 2210111100012 2762638875015 3683518500020 4420222200024 5525277750030 7367037000040 11050555500060 22101111000120