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220100201220 = 22351761257991
BaseRepresentation
bin1100110011111011111…
…1101000101100000100
3210001010011100200222110
43030332333220230010
512101231122414340
6245040155101020
721621200561514
oct3147677505404
9701104320873
10220100201220
1185386909949
12367a7141770
13179a86ab073
14a91d80b844
155ad2dd4680
hex333efe8b04

220100201220 has 144 divisors (see below), whose sum is σ = 663416417664. Its totient is φ = 54334310400.

The previous prime is 220100201207. The next prime is 220100201227. The reversal of 220100201220 is 22102001022.

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 = 220100201196 and 220100201205.

It is not an unprimeable number, because it can be changed into a prime (220100201227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3766425 + ... + 3824415.

It is an arithmetic number, because the mean of its divisors is an integer number (4607058456).

Almost surely, 2220100201220 is an apocalyptic number.

220100201220 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 220100201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331708208832).

220100201220 is an abundant number, since it is smaller than the sum of its proper divisors (443316216444).

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

220100201220 is a wasteful number, since it uses less digits than its factorization.

220100201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58142 (or 58079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220100201220 its reverse (22102001022), we get a palindrome (242202202242).

The spelling of 220100201220 in words is "two hundred twenty billion, one hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 3111 3660 3721 4148 5185 6222 7442 10370 11163 12444 14884 15555 18605 20740 22326 31110 37210 44652 55815 57991 62220 63257 74420 111630 115982 126514 173973 189771 223260 231964 253028 289955 316285 347946 379542 579910 632570 695892 759084 869865 948855 985847 1159820 1265140 1739730 1897710 1971694 2957541 3479460 3537451 3795420 3943388 4929235 5915082 7074902 9858470 10612353 11830164 14149804 14787705 17687255 19716940 21224706 29575410 35374510 42449412 53061765 59150820 60136667 70749020 106123530 120273334 180410001 212247060 215784511 240546668 300683335 360820002 431569022 601366670 647353533 721640004 863138044 902050005 1078922555 1202733340 1294707066 1804100010 2157845110 2589414132 3236767665 3608200020 3668336687 4315690220 6473535330 7336673374 11005010061 12947070660 14673346748 18341683435 22010020122 36683366870 44020040244 55025050305 73366733740 110050100610 220100201220