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10022110200112 = 2423831572089939
BaseRepresentation
bin1001000111010111010001…
…0100011000000100110000
31022111002211002110210102211
42101311310110120010300
52303200240202400422
633152032135221504
72053034143060153
oct221656424300460
938432732423384
1010022110200112
113214397a2867a
12115a428517894
13579108a8297a
14269103797c9a
15125a7108d577
hex91d74518130

10022110200112 has 80 divisors (see below), whose sum is σ = 20636836657920. Its totient is φ = 4705269693696.

The previous prime is 10022110200103. The next prime is 10022110200169. The reversal of 10022110200112 is 21100201122001.

It is a junction number, because it is equal to n+sod(n) for n = 10022110200092 and 10022110200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3750439 + ... + 5840377.

It is an arithmetic number, because the mean of its divisors is an integer number (257960458224).

Almost surely, 210022110200112 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 10022110200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318418328960).

10022110200112 is an abundant number, since it is smaller than the sum of its proper divisors (10614726457808).

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

10022110200112 is a wasteful number, since it uses less digits than its factorization.

10022110200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090210 (or 2090204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022110200112 its reverse (21100201122001), we get a palindrome (31122311322113).

The spelling of 10022110200112 in words is "ten trillion, twenty-two billion, one hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 83 92 157 166 184 314 332 368 628 664 1256 1328 1909 2512 3611 3818 7222 7636 13031 14444 15272 26062 28888 30544 52124 57776 104248 208496 299713 599426 1198852 2089939 2397704 4179878 4795408 8359756 16719512 33439024 48068597 96137194 173464937 192274388 328120423 346929874 384548776 656240846 693859748 769097552 1312481692 1387719496 2624963384 2775438992 3989693551 5249926768 7546769729 7979387102 15093539458 15958774204 27233995109 30187078916 31917548408 54467990218 60374157832 63835096816 108935980436 120748315664 217871960872 435743921744 626381887507 1252763775014 2505527550028 5011055100056 10022110200112