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12331312103000 = 2353112833961231
BaseRepresentation
bin1011001101110001101101…
…1110100011111001011000
31121122212021100020202212002
42303130123132203321120
53104014011344244000
642120532050140132
72411623260303032
oct263343336437130
947585240222762
1012331312103000
113a24753229580
121471a83581648
136b5ab7698397
14308ba551ac52
15165b744d98d5
hexb371b7a3e58

12331312103000 has 128 divisors (see below), whose sum is σ = 31589716055040. Its totient is φ = 4468267440000.

The previous prime is 12331312102981. The next prime is 12331312103039. The reversal of 12331312103000 is 30121313321.

It is a super-2 number, since 2×123313121030002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132385 + ... + 5093615.

It is an arithmetic number, because the mean of its divisors is an integer number (246794656680).

Almost surely, 212331312103000 is an apocalyptic number.

12331312103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331312103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794858027520).

12331312103000 is an abundant number, since it is smaller than the sum of its proper divisors (19258403952040).

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

12331312103000 is a wasteful number, since it uses less digits than its factorization.

12331312103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961546 (or 3961532 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12331312103000 its reverse (30121313321), we get a palindrome (12361433416321).

The spelling of 12331312103000 in words is "twelve trillion, three hundred thirty-one billion, three hundred twelve million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 283 440 500 550 566 1000 1100 1132 1375 1415 2200 2264 2750 2830 3113 5500 5660 6226 7075 11000 11320 12452 14150 15565 24904 28300 31130 35375 56600 62260 70750 77825 124520 141500 155650 283000 311300 389125 622600 778250 1556500 3113000 3961231 7922462 15844924 19806155 31689848 39612310 43573541 79224620 87147082 99030775 158449240 174294164 198061550 217867705 348588328 396123100 435735410 495153875 792246200 871470820 990307750 1089338525 1121028373 1742941640 1980615500 2178677050 2242056746 3961231000 4357354100 4484113492 5446692625 5605141865 8714708200 8968226984 10893385250 11210283730 12331312103 21786770500 22420567460 24662624206 28025709325 43573541000 44841134920 49325248412 56051418650 61656560515 98650496824 112102837300 123313121030 140128546625 224205674600 246626242060 280257093250 308282802575 493252484120 560514186500 616565605150 1121028373000 1233131210300 1541414012875 2466262420600 3082828025750 6165656051500 12331312103000