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11000222112 = 2531192911213
BaseRepresentation
bin10100011111010101…
…00001000110100000
31001101121212011220210
422033222201012200
5140012024101422
65015312534120
7536411226255
oct121752410640
931347764823
1011000222112
11473537a760
12216bb51340
131063ca4789
14764d2b42c
15445ad510c
hex28faa11a0

11000222112 has 96 divisors (see below), whose sum is σ = 31537356480. Its totient is φ = 3329515520.

The previous prime is 11000222071. The next prime is 11000222131. The reversal of 11000222112 is 21122200011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×110002221123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975418 + ... + 986630.

It is an arithmetic number, because the mean of its divisors is an integer number (328514130).

Almost surely, 211000222112 is an apocalyptic number.

11000222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15768678240).

11000222112 is an abundant number, since it is smaller than the sum of its proper divisors (20537134368).

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

11000222112 is a wasteful number, since it uses less digits than its factorization.

11000222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166 (or 12158 counting only the distinct ones).

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

Adding to 11000222112 its reverse (21122200011), we get a palindrome (32122422123).

The spelling of 11000222112 in words is "eleven billion, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 929 1056 1858 2787 3716 5574 7432 10219 11148 11213 14864 20438 22296 22426 29728 30657 33639 40876 44592 44852 61314 67278 81752 89184 89704 122628 123343 134556 163504 179408 245256 246686 269112 327008 358816 370029 490512 493372 538224 740058 981024 986744 1076448 1480116 1973488 2960232 3946976 5920464 10416877 11840928 20833754 31250631 41667508 62501262 83335016 114585647 125002524 166670032 229171294 250005048 333340064 343756941 458342588 500010096 687513882 916685176 1000020192 1375027764 1833370352 2750055528 3666740704 5500111056 11000222112