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200333120013222 = 237237169271087987
BaseRepresentation
bin101101100011001110110000…
…011101001000001110100110
3222021022122210120201002012220
4231203032300131020032212
5202224224212210410342
61550023433111253210
760124406316566400
oct5543166035101646
9867278716632186
10200333120013222
11589178876347a9
121a575a9867a206
1387a2441997041
1437682636d7b70
1518261ce2255ec
hexb633b07483a6

200333120013222 has 96 divisors (see below), whose sum is σ = 478706642777088. Its totient is φ = 55687719132864.

The previous prime is 200333120013163. The next prime is 200333120013239. The reversal of 200333120013222 is 222310021333002.

It is a junction number, because it is equal to n+sod(n) for n = 200333120013192 and 200333120013201.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 183587913 + ... + 184675899.

It is an arithmetic number, because the mean of its divisors is an integer number (4986527528928).

Almost surely, 2200333120013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200333120013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239353321388544).

200333120013222 is an abundant number, since it is smaller than the sum of its proper divisors (278373522763866).

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

200333120013222 is a wasteful number, since it uses less digits than its factorization.

200333120013222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104970 (or 1104963 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 200333120013222 its reverse (222310021333002), we get a palindrome (422643141346224).

The spelling of 200333120013222 in words is "two hundred trillion, three hundred thirty-three billion, one hundred twenty million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 5439 10878 16927 33854 50781 101562 118489 236978 355467 626299 710934 829423 1087987 1252598 1658846 1878897 2175974 2488269 3263961 3757794 4384093 4976538 6527922 7615909 8768186 13152279 15231818 22847727 26304558 30688651 40255519 45695454 53311363 61377302 80511038 92065953 106622726 120766557 159934089 184131906 241533114 281788633 319868178 563577266 845365899 1690731798 1972520431 3945040862 5917561293 11835122586 18416355949 36832711898 55249067847 110498135694 128914491643 257828983286 386743474929 681405170113 773486949858 902401441501 1362810340226 1804802883002 2044215510339 2707204324503 4088431020678 4769836190791 5414408649006 9539672381582 14309508572373 28619017144746 33388853335537 66777706671074 100166560006611 200333120013222