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22110002112 = 26311101103651
BaseRepresentation
bin10100100101110110…
…111101101111000000
32010001212212111000010
4110211312331233000
5330240130031422
614053542024520
71411622626362
oct244566755700
963055774003
1022110002112
119416579920
124350718140
1321148882b3
1410da616d32
1589610bb0c
hex525dbdbc0

22110002112 has 112 divisors (see below), whose sum is σ = 64449984384. Its totient is φ = 6633600000.

The previous prime is 22110002107. The next prime is 22110002183. The reversal of 22110002112 is 21120001122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161487 + ... + 265137.

Almost surely, 222110002112 is an apocalyptic number.

22110002112 is a gapful number since it is divisible by the number (22) 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 22110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32224992192).

22110002112 is an abundant number, since it is smaller than the sum of its proper divisors (42339982272).

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

22110002112 is a wasteful number, since it uses less digits than its factorization.

22110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103778 (or 103768 counting only the distinct ones).

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

Adding to 22110002112 its reverse (21120001122), we get a palindrome (43230003234).

The spelling of 22110002112 in words is "twenty-two billion, one hundred ten million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 132 176 192 202 264 303 352 404 528 606 704 808 1056 1111 1212 1616 2112 2222 2424 3232 3333 4444 4848 6464 6666 8888 9696 13332 17776 19392 26664 35552 53328 71104 103651 106656 207302 213312 310953 414604 621906 829208 1140161 1243812 1658416 2280322 2487624 3316832 3420483 4560644 4975248 6633664 6840966 9121288 9950496 10468751 13681932 18242576 19900992 20937502 27363864 31406253 36485152 41875004 54727728 62812506 72970304 83750008 109455456 115156261 125625012 167500016 218910912 230312522 251250024 335000032 345468783 460625044 502500048 670000064 690937566 921250088 1005000096 1381875132 1842500176 2010000192 2763750264 3685000352 5527500528 7370000704 11055001056 22110002112