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221123030413404 = 223727871665728687
BaseRepresentation
bin110010010001110000110111…
…101011011111000001011100
31001222221011012011221112220010
4302101300313223133001130
5212440334431241212104
62102142303502523220
764401416554343400
oct6221606753370134
91058834164845803
10221123030413404
1164502829003889
122097315b596510
13964ca737c8222
143c865a9cb3100
151a86db66e2489
hexc91c37adf05c

221123030413404 has 144 divisors (see below), whose sum is σ = 601010742216192. Its totient is φ = 63091744224768.

The previous prime is 221123030413403. The next prime is 221123030413459. The reversal of 221123030413404 is 404314030321122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221123030413403) 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, 7708112349 + ... + 7708141035.

Almost surely, 2221123030413404 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 221123030413404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300505371108096).

221123030413404 is an abundant number, since it is smaller than the sum of its proper divisors (379887711802788).

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

221123030413404 is a wasteful number, since it uses less digits than its factorization.

221123030413404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46152 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 221123030413404 its reverse (404314030321122), we get a palindrome (625437060734526).

The spelling of 221123030413404 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, thirty million, four hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 787 1574 2361 3148 4722 5509 9444 11018 16527 16657 22036 28687 33054 33314 38563 49971 57374 66108 66628 77126 86061 99942 114748 115689 116599 154252 172122 199884 200809 231378 233198 344244 349797 401618 462756 466396 602427 699594 803236 816193 1204854 1399188 1405663 1632386 2409708 2448579 2811326 3264772 4216989 4897158 5622652 8433978 9794316 13109059 16867956 22576669 26218118 39327177 45153338 52436236 67730007 78654354 90306676 91763413 135460014 157308708 158036683 183526826 270920028 275290239 316073366 367053652 474110049 477839359 550580478 632146732 642343891 948220098 955678718 1101160956 1106256781 1284687782 1433518077 1896440196 1911357436 1927031673 2212513562 2569375564 2867036154 3318770343 3344875513 3854063346 4425027124 5734072308 6637540686 6689751026 7708126692 10034626539 13275081372 13379502052 20069253078 23414128591 40138506156 46828257182 70242385773 93656514364 140484771546 280969543092 376059575533 752119151066 1128178726599 1504238302132 2256357453198 2632417028731 4512714906396 5264834057462 7897251086193 10529668114924 15794502172386 18426919201117 31589004344772 36853838402234 55280757603351 73707676804468 110561515206702 221123030413404