Search a number
-
+
200103213210120 = 233251124593737677
BaseRepresentation
bin101101011111111000101000…
…111100010001101000001000
3222020111200100222111101110100
4231133320220330101220020
5202211442340040210440
61545330051434445400
760101660110162533
oct5537705074215010
9866450328441410
10200103213210120
11588393291a4800
121a539415293860
1387868626b3b8c
14375b09370ba1a
151820225436230
hexb5fe28f11a08

200103213210120 has 144 divisors (see below), whose sum is σ = 714831520073580. Its totient is φ = 48509869858560.

The previous prime is 200103213210097. The next prime is 200103213210157. The reversal of 200103213210120 is 21012312301002.

200103213210120 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 321 + 321 + 0 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199798846940484 + 304366269636 = 14135022^2 + 551694^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200103213210093 and 200103213210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2296825279 + ... + 2296912398.

Almost surely, 2200103213210120 is an apocalyptic number.

200103213210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200103213210120 is an abundant number, since it is smaller than the sum of its proper divisors (514728306863460).

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

200103213210120 is a wasteful number, since it uses less digits than its factorization.

200103213210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593737716 (or 4593737698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200103213210120 its reverse (21012312301002), we get a palindrome (221115525511122).

The spelling of 200103213210120 in words is "two hundred trillion, one hundred three billion, two hundred thirteen million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 4593737677 9187475354 13781213031 18374950708 22968688385 27562426062 36749901416 41343639093 45937376770 50531114447 55124852124 68906065155 82687278186 91874753540 101062228894 110249704248 137812130310 151593343341 165374556372 183749507080 202124457788 206718195465 252655572235 275624260620 303186686682 330749112744 404248915576 413436390930 454780030023 505311144470 551248521240 555842258917 606373373364 757966716705 826872781860 909560060046 1010622288940 1111684517834 1212746746728 1515933433410 1653745563720 1667526776751 1819120120092 2021244577880 2223369035668 2273900150115 2779211294585 3031866866820 3335053553502 3638240240184 4446738071336 4547800300230 5002580330253 5558422589170 6063733733640 6670107107004 8337633883755 9095600600460 10005160660506 11116845178340 13340214214008 16675267767510 18191201200920 20010321321012 22233690356680 25012901651265 33350535535020 40020642642024 50025803302530 66701071070040 100051606605060 200103213210120