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13310022233310 = 23511372777392543
BaseRepresentation
bin1100000110101111101100…
…1001011010110011011110
31202010102111100000202111220
43001223323021122303132
53221032411142431220
644150312332554210
72542421521166115
oct301537311326336
952112440022456
1013310022233310
114271826617240
1215ab6a3622966
1375718bc8a29a
143402cc236c7c
15181356b46540
hexc1afb25acde

13310022233310 has 128 divisors (see below), whose sum is σ = 35802876801024. Its totient is φ = 3138326184960.

The previous prime is 13310022233309. The next prime is 13310022233323. The reversal of 13310022233310 is 1333222001331.

It is a super-2 number, since 2×133100222333102 (a number of 27 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, 33710899 + ... + 34103441.

It is an arithmetic number, because the mean of its divisors is an integer number (279709975008).

Almost surely, 213310022233310 is an apocalyptic number.

13310022233310 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 13310022233310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901438400512).

13310022233310 is an abundant number, since it is smaller than the sum of its proper divisors (22492854567714).

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

13310022233310 is a wasteful number, since it uses less digits than its factorization.

13310022233310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395378.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13310022233310 its reverse (1333222001331), we get a palindrome (14643244234641).

The spelling of 13310022233310 in words is "thirteen trillion, three hundred ten billion, twenty-two million, two hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 2777 4070 5554 6105 8331 12210 13885 16662 27770 30547 41655 61094 83310 91641 102749 152735 183282 205498 305470 308247 392543 458205 513745 616494 785086 916410 1027490 1130239 1177629 1541235 1962715 2260478 2355258 3082470 3390717 3925430 4317973 5651195 5888145 6781434 8635946 11302390 11776290 12953919 14524091 16953585 21589865 25907838 29048182 33907170 43179730 43572273 64769595 72620455 87144546 129539190 145240910 159765001 217861365 319530002 435722730 479295003 798825005 958590006 1090091911 1597650010 2180183822 2396475015 3270275733 4792950030 5450459555 6540551466 10900919110 11991011021 16351378665 23982022042 32702757330 35973033063 40333400707 59955055105 71946066126 80666801414 119910110210 121000202121 179865165315 201667003535 242000404242 359730330630 403334007070 443667407777 605001010605 887334815554 1210002021210 1331002223331 2218337038885 2662004446662 4436674077770 6655011116655 13310022233310