Search a number
-
+
1024001023221 = 341173103353433
BaseRepresentation
bin11101110011010110011…
…01111001110011110101
310121220010101120201210000
432321223031321303311
5113234123230220341
62102230343421513
7133660462040451
oct16715315716365
93556111521700
101024001023221
11365304977980
1214655ba54899
1375741862827
14377c1c6b661
151b9838aa8b6
hexee6b379cf5

1024001023221 has 160 divisors (see below), whose sum is σ = 1716819616512. Its totient is φ = 603049328640.

The previous prime is 1024001023217. The next prime is 1024001023229. The reversal of 1024001023221 is 1223201004201.

It is a happy number.

1024001023221 is a `hidden beast` number, since 1 + 0 + 2 + 400 + 10 + 232 + 21 = 666.

It is not a de Polignac number, because 1024001023221 - 22 = 1024001023217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1024001023194 and 1024001023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024001023229) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2364898221 + ... + 2364898653.

Almost surely, 21024001023221 is an apocalyptic number.

1024001023221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1024001023221 is a deficient number, since it is larger than the sum of its proper divisors (692818593291).

1024001023221 is a wasteful number, since it uses less digits than its factorization.

1024001023221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1024001023221 its reverse (1223201004201), we get a palindrome (2247202027422).

The spelling of 1024001023221 in words is "one trillion, twenty-four billion, one million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 73 81 99 103 219 297 309 353 433 657 803 891 927 1059 1133 1299 1971 2409 2781 3177 3399 3883 3897 4763 5913 7227 7519 8343 9531 10197 11649 11691 14289 21681 22557 25769 28593 30591 31609 34947 35073 36359 42867 44599 65043 67671 77307 82709 91773 94827 104841 109077 128601 133797 152849 203013 231921 248127 283459 284481 314523 327231 347699 385803 399949 401391 458547 490589 609039 695763 744381 850377 853443 981693 1043097 1199847 1204173 1375641 1471767 1681339 2087289 2233143 2551131 2560329 2654207 2945079 3129291 3255727 3599541 3612519 4126923 4415301 5044017 6699429 7653393 7962621 9387873 9767181 10798623 11157977 12380769 13245903 15132051 15743447 22960179 23887863 28163619 29196277 29301543 32395869 33473931 35812997 39737709 45396153 47230341 71663589 87588831 87904629 100421793 107438991 122737747 136188459 141691023 173177917 214990767 262766493 263713887 301265379 322316973 368213241 425073069 519533751 788299479 903796137 966950919 1104639723 1149271631 1275219207 1558601253 2364898437 2900852757 3313919169 3447814893 4675803759 9941757507 10343444679 12641987941 14027411277 31030334037 37925963823 93091002111 113777891469 341333674407 1024001023221