Search a number
-
+
200010010122120 = 233511419361629439
BaseRepresentation
bin101101011110100001110101…
…100110101101011110001000
3222020011202210111102221122010
4231132201311212231132020
5202203431000042401440
61545215155153055520
760062150335045152
oct5536416546553610
9866152714387563
10200010010122120
1158802850511250
121a5233438575a0
13877ab2b0b1673
14375677125dad2
15181cabcc9b580
hexb5e8759ad788

200010010122120 has 128 divisors (see below), whose sum is σ = 656140455936000. Its totient is φ = 48371553626880.

The previous prime is 200010010122113. The next prime is 200010010122137. The reversal of 200010010122120 is 21221010010002.

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 = 200010010122096 and 200010010122105.

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, 180261640 + ... + 181367799.

It is an arithmetic number, because the mean of its divisors is an integer number (5126097312000).

Almost surely, 2200010010122120 is an apocalyptic number.

200010010122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010010122120 is an abundant number, since it is smaller than the sum of its proper divisors (456130445813880).

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

200010010122120 is a wasteful number, since it uses less digits than its factorization.

200010010122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361629883 (or 361629879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200010010122120 its reverse (21221010010002), we get a palindrome (221231020132122).

The spelling of 200010010122120 in words is "two hundred trillion, ten billion, ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 419 440 660 838 1257 1320 1676 2095 2514 3352 4190 4609 5028 6285 8380 9218 10056 12570 13827 16760 18436 23045 25140 27654 36872 46090 50280 55308 69135 92180 110616 138270 184360 276540 553080 361629439 723258878 1084888317 1446517756 1808147195 2169776634 2893035512 3616294390 3977923829 4339553268 5424441585 7232588780 7955847658 8679106536 10848883170 11933771487 14465177560 15911695316 19889619145 21697766340 23867542974 31823390632 39779238290 43395532680 47735085948 59668857435 79558476580 95470171896 119337714870 151522734941 159116953160 238675429740 303045469882 454568204823 477350859480 606090939764 757613674705 909136409646 1212181879528 1515227349410 1666750084351 1818272819292 2272841024115 3030454698820 3333500168702 3636545638584 4545682048230 5000250253053 6060909397640 6667000337404 8333750421755 9091364096460 10000500506106 13334000674808 16667500843510 18182728192920 20001001012212 25001251265265 33335001687020 40002002024424 50002502530530 66670003374040 100005005061060 200010010122120