Search a number
-
+
220121212220010 = 23355471805982531
BaseRepresentation
bin110010000011001011110110…
…101010010111001001101010
31001212101101022202021022222000
4302003023312222113021222
5212322431220312020020
62100054142222111430
764236142561244103
oct6203136652271152
91055341282238860
10220121212220010
1164156977828322
1220830b7071b576
1395a945893c60a
143c4dcd01b93aa
151a6acd052c090
hexc832f6a9726a

220121212220010 has 128 divisors (see below), whose sum is σ = 588102696115200. Its totient is φ = 58587724802880.

The previous prime is 220121212219957. The next prime is 220121212220023. The reversal of 220121212220010 is 10022212121022.

It is a happy number.

220121212220010 is a `hidden beast` number, since 2 + 201 + 21 + 212 + 220 + 0 + 10 = 666.

220121212220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2667092445 + ... + 2667174975.

It is an arithmetic number, because the mean of its divisors is an integer number (4594552313400).

Almost surely, 2220121212220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121212220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294051348057600).

220121212220010 is an abundant number, since it is smaller than the sum of its proper divisors (367981483895190).

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

220121212220010 is a wasteful number, since it uses less digits than its factorization.

220121212220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101153 (or 101147 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220121212220010 its reverse (10022212121022), we get a palindrome (230143424341032).

The spelling of 220121212220010 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 547 1094 1641 2735 3282 4923 5470 8205 9846 14769 16410 18059 24615 29538 36118 49230 54177 73845 82531 90295 108354 147690 162531 165062 180590 247593 270885 325062 412655 487593 495186 541770 742779 812655 825310 975186 1237965 1485558 1625310 2228337 2437965 2475930 3713895 4456674 4875930 7427790 9878273 11141685 19756546 22283370 29634819 45144457 49391365 59269638 88904457 90288914 98782730 135433371 148174095 177808914 225722285 266713371 270866742 296348190 406300113 444522285 451444570 533426742 677166855 812600226 889044570 1218900339 1333566855 1354333710 1490427329 2031500565 2437800678 2667133710 2980854658 4063001130 4471281987 6094501695 7452136645 8942563974 12189003390 13413845961 14904273290 22356409935 26827691922 40241537883 44712819870 67069229805 80483075766 134138459610 201207689415 402415378830 815263748963 1630527497926 2445791246889 4076318744815 4891582493778 7337373740667 8152637489630 12228956234445 14674747481334 22012121222001 24457912468890 36686868703335 44024242444002 73373737406670 110060606110005 220121212220010