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220013003122 = 211247671032803
BaseRepresentation
bin1100110011100111001…
…1000000000101110010
3210000220002021120200021
43030321303000011302
512101041312044442
6245023402114054
721616061445613
oct3147163000562
9700802246607
10220013003122
1185341671700
1236781aab92a
13179935ca563
14a911dcdc0a
155aca40ce67
hex3339cc0172

220013003122 has 96 divisors (see below), whose sum is σ = 379782014976. Its totient is φ = 95447103840.

The previous prime is 220013003051. The next prime is 220013003129. The reversal of 220013003122 is 221300310022.

It is a super-2 number, since 2×2200130031222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220013003096 and 220013003105.

It is not an unprimeable number, because it can be changed into a prime (220013003129) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 78490573 + ... + 78493375.

It is an arithmetic number, because the mean of its divisors is an integer number (3956062656).

Almost surely, 2220013003122 is an apocalyptic number.

220013003122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220013003122 is a deficient number, since it is larger than the sum of its proper divisors (159769011854).

220013003122 is a wasteful number, since it uses less digits than its factorization.

220013003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220013003122 its reverse (221300310022), we get a palindrome (441313313144).

The spelling of 220013003122 in words is "two hundred twenty billion, thirteen million, three thousand, one hundred twenty-two".

Divisors: 1 2 11 22 47 67 94 103 121 134 206 242 517 737 1034 1133 1474 2266 2803 3149 4841 5606 5687 6298 6901 8107 9682 11374 12463 13802 16214 24926 30833 34639 53251 61666 69278 75911 106502 131741 151822 187801 263482 288709 324347 339163 375602 381029 577418 585761 648694 678326 762058 835021 1171522 1449151 1670042 2065811 2898302 3175799 3567817 4131622 6351598 7135634 8826647 13569323 15940661 17653294 19343503 22723921 27138646 31881322 34933789 38687006 39245987 45447842 69867578 78491974 97093117 149262553 194186234 212778533 298525106 425557066 909144641 1068024287 1641888083 1818289282 2136048574 2340563863 3283776166 4681127726 10000591051 20001182102 110006501561 220013003122