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223130302303120 = 245232915972618411
BaseRepresentation
bin110010101110111110010010…
…011010000100101110010000
31002021001001022102010200012221
4302232332102122010232100
5213221231324342144440
62110320351253430424
764666426620032212
oct6256762232045620
91067031272120187
10223130302303120
1165107036722a83
122103819293b414
1397671357a0504
143d157c84565b2
151abe1e7ce3d4a
hexcaef92684b90

223130302303120 has 160 divisors (see below), whose sum is σ = 560351060593920. Its totient is φ = 82376100280320.

The previous prime is 223130302303063. The next prime is 223130302303133. The reversal of 223130302303120 is 21303203031322.

It is a super-3 number, since 3×2231303023031203 (a number of 44 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 83906715 + ... + 86525125.

It is an arithmetic number, because the mean of its divisors is an integer number (3502194128712).

Almost surely, 2223130302303120 is an apocalyptic number.

223130302303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223130302303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280175530296960).

223130302303120 is an abundant number, since it is smaller than the sum of its proper divisors (337220758290800).

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

223130302303120 is a wasteful number, since it uses less digits than its factorization.

223130302303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620073 (or 2620067 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 223130302303120 its reverse (21303203031322), we get a palindrome (244433505334442).

The spelling of 223130302303120 in words is "two hundred twenty-three trillion, one hundred thirty billion, three hundred two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1597 1840 2320 2668 3194 3335 5336 6388 6670 7985 10672 12776 13340 15970 25552 26680 31940 36731 46313 53360 63880 73462 92626 127760 146924 183655 185252 231565 293848 367310 370504 463130 587696 734620 741008 926260 1065199 1469240 1852520 2130398 2618411 2938480 3705040 4260796 5236822 5325995 8521592 10473644 10651990 13092055 17043184 20947288 21303980 26184110 41894576 42607960 52368220 60223453 75933919 85215920 104736440 120446906 151867838 209472880 240893812 301117265 303735676 379669595 481787624 602234530 607471352 759339190 963575248 1204469060 1214942704 1518678380 1746480137 2408938120 3037356760 3492960274 4181602367 4817876240 6074713520 6985920548 8363204734 8732400685 13971841096 16726409468 17464801370 20908011835 27943682192 33452818936 34929602740 41816023670 66905637872 69859205480 83632047340 96176854441 121266468643 139718410960 167264094680 192353708882 242532937286 334528189360 384707417764 480884272205 485065874572 606332343215 769414835528 961768544410 970131749144 1212664686430 1538829671056 1923537088820 1940263498288 2425329372860 2789128778789 3847074177640 4850658745720 5578257557578 7694148355280 9701317491440 11156515115156 13945643893945 22313030230312 27891287787890 44626060460624 55782575575780 111565151151560 223130302303120