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221111120000 = 275421113099
BaseRepresentation
bin1100110111101100111…
…1111111000010000000
3210010201121120200211202
43031323033333002000
512110313421320000
6245324350400332
721655224336551
oct3157317770200
9703647520752
10221111120000
1185855510111
1236a298000a8
1317b09c6c064
14a9b7b9c328
155b41a20dd5
hex337b3ff080

221111120000 has 160 divisors (see below), whose sum is σ = 553093266000. Its totient is φ = 88018560000.

The previous prime is 221111119949. The next prime is 221111120039. The reversal of 221111120000 is 21111122.

221111120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16873451 + ... + 16886549.

Almost surely, 2221111120000 is an apocalyptic number.

221111120000 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 221111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276546633000).

221111120000 is an abundant number, since it is smaller than the sum of its proper divisors (331982146000).

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

221111120000 is an equidigital number, since it uses as much as digits as its factorization.

221111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221111120000 its reverse (21111122), we get a palindrome (221132231122).

The spelling of 221111120000 in words is "two hundred twenty-one billion, one hundred eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 211 250 320 400 422 500 625 640 800 844 1000 1055 1250 1600 1688 2000 2110 2500 3200 3376 4000 4220 5000 5275 6752 8000 8440 10000 10550 13099 13504 16000 16880 20000 21100 26198 26375 27008 33760 40000 42200 52396 52750 65495 67520 80000 84400 104792 105500 130990 131875 135040 168800 209584 211000 261980 263750 327475 337600 419168 422000 523960 527500 654950 675200 838336 844000 1047920 1055000 1309900 1637375 1676672 1688000 2095840 2110000 2619800 2763889 3274750 3376000 4191680 4220000 5239600 5527778 6549500 8186875 8383360 8440000 10479200 11055556 13099000 13819445 16373750 16880000 20958400 22111112 26198000 27638890 32747500 41916800 44222224 52396000 55277780 65495000 69097225 88444448 104792000 110555560 130990000 138194450 176888896 209584000 221111120 261980000 276388900 345486125 353777792 442222240 523960000 552777800 690972250 884444480 1047920000 1105555600 1381944500 1727430625 1768888960 2211111200 2763889000 3454861250 4422222400 5527778000 6909722500 8844444800 11055556000 13819445000 22111112000 27638890000 44222224000 55277780000 110555560000 221111120000