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421220121022124 = 2217192011423138317
BaseRepresentation
bin101111111000110001111001…
…1101011111000111010101100
32001020102020202110200120011122
41133301203303223320322230
5420202232301440201444
64051505504025040112
7154503102161353334
oct13761436353707254
92036366673616148
10421220121022124
111122394a5149526
123b2ab346326038
1315105b6b8b8328
14760323c3ba0c4
1533a6d7e3744ee
hex17f18f3af8eac

421220121022124 has 96 divisors (see below), whose sum is σ = 822199123146240. Its totient is φ = 187645897036800.

The previous prime is 421220121022109. The next prime is 421220121022171.

421220121022124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 421220121022093 and 421220121022102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10993015814 + ... + 10993054130.

It is an arithmetic number, because the mean of its divisors is an integer number (8564574199440).

Almost surely, 2421220121022124 is an apocalyptic number.

It is an amenable number.

421220121022124 is a deficient number, since it is larger than the sum of its proper divisors (400979002124116).

421220121022124 is a wasteful number, since it uses less digits than its factorization.

421220121022124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44599 (or 44597 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 421220121022124 in words is "four hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 17 19 34 38 68 76 323 646 1292 2011 4022 4231 8044 8462 16924 34187 38209 38317 68374 71927 76418 76634 80389 136748 143854 152836 153268 160778 287708 321556 649553 651389 728023 1299106 1302778 1366613 1456046 2598212 2605556 2733226 2912092 5466452 8508541 12376391 17017082 24752782 34034164 49505564 77055487 144645197 154110974 161662279 162119227 289290394 308221948 323324558 324238454 578580788 646649116 648476908 1309943279 1464054253 2619886558 2748258743 2756026859 2928108506 3080265313 5239773116 5496517486 5512053718 5856217012 6160530626 10993034972 11024107436 12321061252 24888922301 49777844602 52364510321 99555689204 104729020642 209458041284 326021765497 652043530994 1304087061988 5542370013449 6194413544443 11084740026898 12388827088886 22169480053796 24777654177772 105305030255531 210610060511062 421220121022124