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220220112110112 = 253221124781146239
BaseRepresentation
bin110010000100100111111101…
…100011100000001000100000
31001212201211121020212022010200
4302010213331203200020200
5212331041242200010422
62100211420050025200
764246243446401112
oct6204477543401040
91055654536768120
10220220112110112
1164194909183594
1220848171b78200
1395b588a56034a
143c549d30ad3b2
151a6d66cdad2ac
hexc849fd8e0220

220220112110112 has 144 divisors (see below), whose sum is σ = 629248651799040. Its totient is φ = 73055357222400.

The previous prime is 220220112110087. The next prime is 220220112110113. The reversal of 220220112110112 is 211011211022022.

220220112110112 is a `hidden beast` number, since 220 + 2 + 201 + 121 + 10 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220220112110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505818689 + ... + 1505964927.

It is an arithmetic number, because the mean of its divisors is an integer number (4369782304160).

Almost surely, 2220220112110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220112110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314624325899520).

220220112110112 is an abundant number, since it is smaller than the sum of its proper divisors (409028539688928).

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

220220112110112 is a wasteful number, since it uses less digits than its factorization.

220220112110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171247 (or 171236 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220220112110112 its reverse (211011211022022), we get a palindrome (431231323132134).

The spelling of 220220112110112 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 15192 20256 24781 30384 49562 60768 74343 99124 146239 148686 198248 223029 292478 297372 396496 438717 446058 584956 594744 792992 877434 892116 1169912 1189488 1316151 1754868 1784232 2339824 2378976 2632302 3509736 3568464 4679648 5228791 5264604 7019472 7136928 10457582 10529208 14038944 15686373 20915164 21058416 30856429 31372746 41830328 42116832 47059119 61712858 62745492 83660656 92569287 94118238 123425716 125490984 167321312 185138574 188236476 246851432 250981968 277707861 370277148 376472952 493702864 501963936 555415722 740554296 752945904 987405728 1110831444 1481108592 1505891808 2221662888 2962217184 3623948659 4443325776 7247897318 8886651552 10871845977 14495794636 21743691954 28991589272 32615537931 43487383908 57983178544 65231075862 86974767816 115966357088 130462151724 173949535632 260924303448 347899071264 521848606896 764653167049 1043697213792 1529306334098 2293959501147 3058612668196 4587919002294 6117225336392 6881878503441 9175838004588 12234450672784 13763757006882 18351676009176 24468901345568 27527514013764 36703352018352 55055028027528 73406704036704 110110056055056 220220112110112