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11000112200022 = 2311247909135461
BaseRepresentation
bin1010000000010010100111…
…0001111011100101010110
31102221121012201210000210210
42200010221301323211112
52420211212210400042
635221214244230250
72213506014650151
oct240045161734526
942847181700723
1011000112200022
113561137623500
121297a8b39b386
1361a3c97498ba
142a05a0420c98
1514121146da9c
hexa0129c7b956

11000112200022 has 96 divisors (see below), whose sum is σ = 24699989970432. Its totient is φ = 3261993768000.

The previous prime is 11000112200009. The next prime is 11000112200083. The reversal of 11000112200022 is 22000221100011.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11000112199980 and 11000112200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310185372 + ... + 310220832.

It is an arithmetic number, because the mean of its divisors is an integer number (257291562192).

Almost surely, 211000112200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000112200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349994985216).

11000112200022 is an abundant number, since it is smaller than the sum of its proper divisors (13699877770410).

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

11000112200022 is a wasteful number, since it uses less digits than its factorization.

11000112200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44626 (or 44615 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000112200022 its reverse (22000221100011), we get a palindrome (33000333300033).

It can be divided in two parts, 1100011 and 2200022, that multiplied together give a palindrome (2420048400242).

The spelling of 11000112200022 in words is "eleven trillion, one hundred twelve million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1551 3102 5687 9091 11374 17061 18182 27273 34122 35461 54546 70922 100001 106383 200002 212766 300003 390071 427277 600006 780142 854554 1100011 1170213 1281831 1666667 2200022 2340426 2563662 3300033 3333334 4290781 4700047 5000001 6600066 8581562 9400094 10000002 12872343 14100141 18333337 25744686 28200282 36666674 51700517 55000011 103401034 110000022 155101551 201666707 310203102 322375951 403333414 605000121 644751902 967127853 1210000242 1934255706 3546135461 7092270922 10638406383 15151669697 21276812766 30303339394 39007490071 45455009091 78014980142 90910018182 117022470213 166668366667 234044940426 333336733334 500005100001 1000010200002 1833352033337 3666704066674 5500056100011 11000112200022