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201022212022304 = 25177872477189559
BaseRepresentation
bin101101101101010000100001…
…100010100010000000100000
3222100202112110120220010110012
4231231100201202202000200
5202322021442234203204
61551312155044424052
760225242545201211
oct5555204142420040
9870675416803405
10201022212022304
1159063050059372
121a6675500a8028
13882240c2b2b8a
14378d75403d408
1518390b086576e
hexb6d4218a2020

201022212022304 has 96 divisors (see below), whose sum is σ = 419746684210560. Its totient is φ = 94439845859328.

The previous prime is 201022212022301. The next prime is 201022212022363. The reversal of 201022212022304 is 403220212220102.

201022212022304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201022212022304.

It is not an unprimeable number, because it can be changed into a prime (201022212022301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060378277 + ... + 1060567835.

It is an arithmetic number, because the mean of its divisors is an integer number (4372361293860).

Almost surely, 2201022212022304 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 201022212022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209873342105280).

201022212022304 is an abundant number, since it is smaller than the sum of its proper divisors (218724472188256).

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

201022212022304 is a wasteful number, since it uses less digits than its factorization.

201022212022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192850 (or 192842 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 201022212022304 its reverse (403220212220102), we get a palindrome (604242424242406).

The spelling of 201022212022304 in words is "two hundred one trillion, twenty-two billion, two hundred twelve million, twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 787 1574 2477 3148 4954 6296 9908 12592 13379 19816 25184 26758 39632 42109 53516 79264 84218 107032 168436 189559 214064 336872 379118 428128 673744 758236 1347488 1516472 1949399 3032944 3222503 3898798 6065888 6445006 7797596 12890012 15595192 25780024 31190384 33139783 51560048 62380768 66279566 103120096 132559132 149182933 265118264 298365866 469537643 530236528 596731732 939075286 1060473056 1193463464 1878150572 2386926928 2536109861 3756301144 4773853856 5072219722 7512602288 7982139931 10144439444 15025204576 15964279862 20288878888 31928559724 40577757776 63857119448 81155515552 127714238896 255428477792 369526125041 739052250082 1478104500164 2956209000328 5912418000656 6281944125697 11824836001312 12563888251394 25127776502788 50255553005576 100511106011152 201022212022304