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221320203312 = 243134743117509
BaseRepresentation
bin1100111000011110110…
…1100100110000110000
3210011021012000020020010
43032013231210300300
512111230433001222
6245401220014520
721663343455105
oct3160755446060
9704235006203
10221320203312
118595253753a
1236a87831440
1317b413868b0
14a9d7866aac
155b5507180c
hex3387b64c30

221320203312 has 160 divisors (see below), whose sum is σ = 630319656960. Its totient is φ = 66491182080.

The previous prime is 221320203289. The next prime is 221320203323. The reversal of 221320203312 is 213302023122.

It is a happy number.

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, 12631614 + ... + 12649122.

It is an arithmetic number, because the mean of its divisors is an integer number (3939497856).

Almost surely, 2221320203312 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 221320203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315159828480).

221320203312 is an abundant number, since it is smaller than the sum of its proper divisors (408999453648).

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

221320203312 is a wasteful number, since it uses less digits than its factorization.

221320203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18011 (or 18005 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221320203312 its reverse (213302023122), we get a palindrome (434622226434).

The spelling of 221320203312 in words is "two hundred twenty-one billion, three hundred twenty million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 431 564 611 624 752 862 1128 1222 1293 1724 1833 2256 2444 2586 3448 3666 4888 5172 5603 6896 7332 9776 10344 11206 14664 16809 17509 20257 20688 22412 29328 33618 35018 40514 44824 52527 60771 67236 70036 81028 89648 105054 121542 134472 140072 162056 210108 227617 243084 263341 268944 280144 324112 420216 455234 486168 526682 682851 790023 822923 840432 910468 972336 1053364 1365702 1580046 1645846 1820936 2106728 2468769 2731404 3160092 3291692 3641872 4213456 4937538 5462808 6320184 6583384 7546379 9875076 10697999 10925616 12640368 13166768 15092758 19750152 21395998 22639137 30185516 32093997 39500304 42791996 45278274 60371032 64187994 85583992 90556548 98102927 120742064 128375988 171167984 181113096 196205854 256751976 294308781 354679813 362226192 392411708 513503952 588617562 709359626 784823416 1064039439 1177235124 1418719252 1569646832 2128078878 2354470248 2837438504 4256157756 4610837569 4708940496 5674877008 8512315512 9221675138 13832512707 17024631024 18443350276 27665025414 36886700552 55330050828 73773401104 110660101656 221320203312