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3200302221320 = 2352326999113049
BaseRepresentation
bin101110100100100000111…
…000001000100000001000
3102022221112120020101122202
4232210200320020200020
5404413204332040240
610450110515135332
7450133321021601
oct56444070104010
912287476211582
103200302221320
111024271199266
124382a68a4548
131a2a30646c59
14b0c771a8da8
15583a94b5315
hex2e920e08808

3200302221320 has 128 divisors (see below), whose sum is σ = 7549873920000. Its totient is φ = 1218587166720.

The previous prime is 3200302221241. The next prime is 3200302221349. The reversal of 3200302221320 is 231222030023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3200302221292 and 3200302221301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245246156 + ... + 245259204.

It is an arithmetic number, because the mean of its divisors is an integer number (58983390000).

Almost surely, 23200302221320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200302221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774936960000).

3200302221320 is an abundant number, since it is smaller than the sum of its proper divisors (4349571698680).

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

3200302221320 is a wasteful number, since it uses less digits than its factorization.

3200302221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14343 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3200302221320 its reverse (231222030023), we get a palindrome (3431524251343).

The spelling of 3200302221320 in words is "three trillion, two hundred billion, three hundred two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 269 460 538 920 991 1076 1345 1982 2152 2690 3964 4955 5380 6187 7928 9910 10760 12374 13049 19820 22793 24748 26098 30935 39640 45586 49496 52196 61870 65245 91172 104392 113965 123740 130490 182344 227930 247480 260980 266579 300127 455860 521960 533158 600254 911720 1066316 1200508 1332895 1500635 2132632 2401016 2665790 3001270 3510181 5331580 6002540 6131317 7020362 10663160 12005080 12262634 12931559 14040724 17550905 24525268 25863118 28081448 30656585 35101810 49050536 51726236 61313170 64657795 70203620 80734163 103452472 122626340 129315590 140407240 161468326 245252680 258631180 297425857 322936652 403670815 517262360 594851714 645873304 807341630 1189703428 1487129285 1614683260 2379406856 2974258570 3229366520 3478589371 5948517140 6957178742 11897034280 13914357484 17392946855 27828714968 34785893710 69571787420 80007555533 139143574840 160015111066 320030222132 400037777665 640060444264 800075555330 1600151110660 3200302221320