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11230122112 = 271119740487
BaseRepresentation
bin10100111010101111…
…00001000010000000
31001222122110022102121
422131113201002000
5140444402401422
65054204254024
7545202314536
oct123527410200
931878408377
1011230122112
114843124a60
122214b41314
13109c7ca391
14787694156
1545ad988c7
hex29d5e1080

11230122112 has 64 divisors (see below), whose sum is σ = 24530869440. Its totient is φ = 5078563840.

The previous prime is 11230122109. The next prime is 11230122119. The reversal of 11230122112 is 21122103211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×112301221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11230122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257133 + ... + 297619.

It is an arithmetic number, because the mean of its divisors is an integer number (383294835).

Almost surely, 211230122112 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 11230122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265434720).

11230122112 is an abundant number, since it is smaller than the sum of its proper divisors (13300747328).

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

11230122112 is a wasteful number, since it uses less digits than its factorization.

11230122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40709 (or 40697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11230122112 its reverse (21122103211), we get a palindrome (32352225323).

The spelling of 11230122112 in words is "eleven billion, two hundred thirty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 197 352 394 704 788 1408 1576 2167 3152 4334 6304 8668 12608 17336 25216 34672 40487 69344 80974 138688 161948 277376 323896 445357 647792 890714 1295584 1781428 2591168 3562856 5182336 7125712 7975939 14251424 15951878 28502848 31903756 57005696 63807512 87735329 127615024 175470658 255230048 350941316 510460096 701882632 1020920192 1403765264 2807530528 5615061056 11230122112