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112100222010 = 235737103140071
BaseRepresentation
bin110100001100110110…
…0011010010000111010
3101201100110100022100110
41220121230122100322
53314040124101020
6123255332445150
711045643110460
oct1503154322072
9351313308313
10112100222010
11435a571aa87
12198861797b6
13a756664b1a
1455d60ca830
152db16a58e0
hex1a19b1a43a

112100222010 has 128 divisors (see below), whose sum is σ = 318853177344. Its totient is φ = 24688177920.

The previous prime is 112100221997. The next prime is 112100222033. The reversal of 112100222010 is 10222001211.

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 63 ways as a sum of consecutive naturals, for example, 730275 + ... + 870345.

It is an arithmetic number, because the mean of its divisors is an integer number (2491040448).

Almost surely, 2112100222010 is an apocalyptic number.

112100222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159426588672).

112100222010 is an abundant number, since it is smaller than the sum of its proper divisors (206752955334).

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

112100222010 is a wasteful number, since it uses less digits than its factorization.

112100222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140228.

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

Adding to 112100222010 its reverse (10222001211), we get a palindrome (122322223221).

The spelling of 112100222010 in words is "one hundred twelve billion, one hundred million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 103 105 111 185 206 210 222 259 309 370 515 518 555 618 721 777 1030 1110 1295 1442 1545 1554 2163 2590 3090 3605 3811 3885 4326 7210 7622 7770 10815 11433 19055 21630 22866 26677 38110 53354 57165 80031 114330 133385 140071 160062 266770 280142 400155 420213 700355 800310 840426 980497 1400710 1960994 2101065 2941491 4202130 4902485 5182627 5882982 9804970 10365254 14427313 14707455 15547881 25913135 28854626 29414910 31095762 36278389 43281939 51826270 72136565 72556778 77739405 86563878 100991191 108835167 144273130 155478810 181391945 201982382 216409695 217670334 302973573 362783890 432819390 504955955 533810581 544175835 605947146 1009911910 1067621162 1088351670 1514867865 1601431743 2669052905 3029735730 3202863486 3736674067 5338105810 7473348134 8007158715 11210022201 16014317430 18683370335 22420044402 37366740670 56050111005 112100222010