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12223313310 = 23513175933109
BaseRepresentation
bin10110110001001000…
…01111010110011110
31011112212022122121210
423120210033112132
5200013132011220
65340524005250
7611622306645
oct133044172636
934485278553
1012223313310
11520281822a
122451690826
1311ca4c2390
1483d54c35c
154b81826e0
hex2d890f59e

12223313310 has 128 divisors (see below), whose sum is σ = 33518136960. Its totient is φ = 2826141696.

The previous prime is 12223313281. The next prime is 12223313341. The reversal of 12223313310 is 1331332221.

It is a super-2 number, since 2×122233133102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3930036 + ... + 3933144.

It is an arithmetic number, because the mean of its divisors is an integer number (261860445).

Almost surely, 212223313310 is an apocalyptic number.

12223313310 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 12223313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759068480).

12223313310 is an abundant number, since it is smaller than the sum of its proper divisors (21294823650).

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

12223313310 is a wasteful number, since it uses less digits than its factorization.

12223313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12223313310 its reverse (1331332221), we get a palindrome (13554645531).

It can be divided in two parts, 12 and 223313310, that added together give a palindrome (223313322).

The spelling of 12223313310 in words is "twelve billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 593 663 1105 1186 1326 1779 2210 2965 3109 3315 3558 5930 6218 6630 7709 8895 9327 10081 15418 15545 17790 18654 20162 23127 30243 31090 38545 40417 46254 46635 50405 52853 60486 77090 80834 93270 100810 105706 115635 121251 131053 151215 158559 202085 231270 242502 262106 264265 302430 317118 393159 404170 528530 606255 655265 687089 786318 792795 1212510 1310530 1374178 1585590 1843637 1965795 2061267 3435445 3687274 3931590 4122534 5530911 6870890 9218185 10306335 11061822 18436370 20612670 23967281 27654555 31341829 47934562 55309110 62683658 71901843 94025487 119836405 143803686 156709145 188050974 239672810 313418290 359509215 407443777 470127435 719018430 814887554 940254870 1222331331 2037218885 2444662662 4074437770 6111656655 12223313310