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200213213430320 = 24571871325926263
BaseRepresentation
bin101101100001011111000101…
…011101110100001000110000
3222020220012022002022112212222
4231201133011131310020300
5202220243130114232240
61545452402553140212
760112633033501136
oct5541370535641060
9866805262275788
10200213213430320
1158880a464852a2
121a5567b40ba668
138794042c5a07c
14376252a94b756
151823012573eb5
hexb617c5774230

200213213430320 has 80 divisors (see below), whose sum is σ = 465613331339520. Its totient is φ = 80065054363392.

The previous prime is 200213213430319. The next prime is 200213213430359. The reversal of 200213213430320 is 23034312312002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 200213213430320.

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 15 ways as a sum of consecutive naturals, for example, 7623381509 + ... + 7623407771.

It is an arithmetic number, because the mean of its divisors is an integer number (5820166641744).

Almost surely, 2200213213430320 is an apocalyptic number.

200213213430320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200213213430320 is an abundant number, since it is smaller than the sum of its proper divisors (265400117909200).

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

200213213430320 is a wasteful number, since it uses less digits than its factorization.

200213213430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46722 (or 46716 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 200213213430320 its reverse (23034312312002), we get a palindrome (223247525742322).

The spelling of 200213213430320 in words is "two hundred trillion, two hundred thirteen billion, two hundred thirteen million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7187 13259 14374 26263 26518 28748 35935 52526 53036 57496 66295 71870 105052 106072 114992 131315 132590 143740 210104 212144 262630 265180 287480 420208 525260 530360 574960 1050520 1060720 2101040 95292433 188752181 190584866 348221117 377504362 381169732 476462165 696442234 755008724 762339464 943760905 952924330 1392884468 1510017448 1524678928 1741105585 1887521810 1905848660 2785768936 3020034896 3482211170 3775043620 3811697320 5571537872 6964422340 7550087240 7623394640 13928844680 15100174480 27857689360 2502665167879 5005330335758 10010660671516 12513325839395 20021321343032 25026651678790 40042642686064 50053303357580 100106606715160 200213213430320