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13232123123000 = 2353231573664393
BaseRepresentation
bin1100000010001101011111…
…1111111001010100111000
31201211222102102002221101012
43000203113333321110320
53213243342004414000
644050430424413052
72533663226525255
oct300432777712470
951758372087335
1013232123123000
1142417915a6731
121598583317188
1374ca26195282
1433a61c4da42c
1517e2e7d18735
hexc08d7ff9538

13232123123000 has 128 divisors (see below), whose sum is σ = 32515193992320. Its totient is φ = 5030477337600.

The previous prime is 13232123122979. The next prime is 13232123123047. The reversal of 13232123123000 is 32132123231.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 1778804 + ... + 5443196.

It is an arithmetic number, because the mean of its divisors is an integer number (254024953065).

Almost surely, 213232123123000 is an apocalyptic number.

13232123123000 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 13232123123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257596996160).

13232123123000 is an abundant number, since it is smaller than the sum of its proper divisors (19283070869320).

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

13232123123000 is a wasteful number, since it uses less digits than its factorization.

13232123123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664594 (or 3664580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13232123123000 its reverse (32132123231), we get a palindrome (13264255246231).

The spelling of 13232123123000 in words is "thirteen trillion, two hundred thirty-two billion, one hundred twenty-three million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 157 184 200 230 250 314 460 500 575 628 785 920 1000 1150 1256 1570 2300 2875 3140 3611 3925 4600 5750 6280 7222 7850 11500 14444 15700 18055 19625 23000 28888 31400 36110 39250 72220 78500 90275 144440 157000 180550 361100 451375 722200 902750 1805500 3611000 3664393 7328786 14657572 18321965 29315144 36643930 73287860 84281039 91609825 146575720 168562078 183219650 337124156 366439300 421405195 458049125 575309701 674248312 732878600 842810390 916098250 1150619402 1685620780 1832196500 2107025975 2301238804 2876548505 3371241560 3664393000 4214051950 4602477608 5753097010 8428103900 10535129875 11506194020 13232123123 14382742525 16856207800 21070259750 23012388040 26464246246 28765485050 42140519500 52928492492 57530970100 66160615615 71913712625 84281039000 105856984984 115061940200 132321231230 143827425250 264642462460 287654850500 330803078075 529284924920 575309701000 661606156150 1323212312300 1654015390375 2646424624600 3308030780750 6616061561500 13232123123000