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12303120023310 = 2357148754721683
BaseRepresentation
bin1011001100001000101100…
…0110010011111100001110
31121120011111120212201220110
42303002023012103330032
53103033242211221220
642055550400100450
72406604532466624
oct263021306237416
947504446781813
1012303120023310
113a137a6569866
121468516004726
136b3243a3741c
1430768d24b514
15165074480be0
hexb308b193f0e

12303120023310 has 128 divisors (see below), whose sum is σ = 30061093330944. Its totient is φ = 3221931323520.

The previous prime is 12303120023267. The next prime is 12303120023387. The reversal of 12303120023310 is 1332002130321.

It is a super-2 number, since 2×123031200233102 (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, 567397729 + ... + 567419411.

It is an arithmetic number, because the mean of its divisors is an integer number (234852291648).

Almost surely, 212303120023310 is an apocalyptic number.

12303120023310 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 12303120023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030546665472).

12303120023310 is an abundant number, since it is smaller than the sum of its proper divisors (17757973307634).

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

12303120023310 is a wasteful number, since it uses less digits than its factorization.

12303120023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22798.

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

Adding to 12303120023310 its reverse (1332002130321), we get a palindrome (13635122153631).

The spelling of 12303120023310 in words is "twelve trillion, three hundred three billion, one hundred twenty million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 487 547 710 974 1065 1094 1461 1641 2130 2435 2735 2922 3282 4870 5470 7305 8205 14610 16410 21683 34577 38837 43366 65049 69154 77674 103731 108415 116511 130098 172885 194185 207462 216830 233022 266389 325245 345770 388370 518655 532778 582555 650490 799167 1037310 1165110 1331945 1539493 1598334 2663890 3078986 3995835 4618479 7697465 7991670 9236958 10559621 11860601 15394930 18913619 21119242 23092395 23721202 31678863 35581803 37827238 46184790 52798105 56740857 59303005 63357726 71163606 94568095 105596210 113481714 118606010 158394315 177909015 189136190 283704285 316788630 355818030 567408570 749733091 842102671 1499466182 1684205342 2249199273 2526308013 3748665455 4210513355 4498398546 5052616026 5776112687 7497330910 8421026710 11245996365 11552225374 12631540065 17328338061 22491992730 25263080130 28880563435 34656676122 57761126870 86641690305 173283380610 410104000777 820208001554 1230312002331 2050520003885 2460624004662 4101040007770 6151560011655 12303120023310