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10223333322112 = 271959349204151
BaseRepresentation
bin1001010011000100111000…
…1001101010110110000000
31100012100012200021111220001
42110301032021222312000
52314444341312301422
633424311241125344
72103416505303421
oct224611611526600
940170180244801
1010223333322112
1132917671584a9
121191425789854
13592096600771
14274b520a7648
1512adebab9227
hex94c4e26ad80

10223333322112 has 128 divisors (see below), whose sum is σ = 21864679200000. Its totient is φ = 4746889267200.

The previous prime is 10223333322109. The next prime is 10223333322113. The reversal of 10223333322112 is 21122333332201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223333322113) 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, 49975237 + ... + 50179387.

It is an arithmetic number, because the mean of its divisors is an integer number (170817806250).

Almost surely, 210223333322112 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 10223333322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932339600000).

10223333322112 is an abundant number, since it is smaller than the sum of its proper divisors (11641345877888).

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

10223333322112 is a wasteful number, since it uses less digits than its factorization.

10223333322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204592 (or 204580 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 10223333322112 its reverse (21122333332201), we get a palindrome (31345666654313).

The spelling of 10223333322112 in words is "ten trillion, two hundred twenty-three billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 304 349 472 608 698 944 1121 1216 1396 1888 2242 2432 2792 3776 4484 5584 6631 7552 8968 11168 13262 17936 20591 22336 26524 35872 41182 44672 53048 71744 82364 106096 143488 164728 204151 212192 329456 391229 408302 424384 658912 782458 816604 848768 1317824 1564916 1633208 2635648 3129832 3266416 3878869 6259664 6532832 7757738 12044909 12519328 13065664 15515476 24089818 25038656 26131328 31030952 48179636 50077312 62061904 71248699 96359272 124123808 142497398 192718544 228853271 248247616 284994796 385437088 457706542 496495232 569989592 770874176 915413084 1139979184 1353725281 1541748352 1830826168 2279958368 2707450562 3661652336 4203673241 4559916736 5414901124 7323304672 8407346482 9119833472 10829802248 14646609344 16814692964 21659604496 29293218688 33629385928 43319208992 67258771856 79869791579 86638417984 134517543712 159739583158 173276835968 269035087424 319479166316 538070174848 638958332632 1277916665264 2555833330528 5111666661056 10223333322112