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123231021000 = 23353127323441
BaseRepresentation
bin111001011000100100…
…1000010011111001000
3102210002011220111001220
41302301021002133020
54004334120133000
6132340032242040
711621531252463
oct1626111023710
9383064814056
10123231021000
114829777600a
121ba719a0320
13b80b6c7809
145d704c82da
1533139801a0
hex1cb12427c8

123231021000 has 128 divisors (see below), whose sum is σ = 387509391360. Its totient is φ = 32602752000.

The previous prime is 123231020977. The next prime is 123231021061. The reversal of 123231021000 is 120132321.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 219280 + ... + 542720.

It is an arithmetic number, because the mean of its divisors is an integer number (3027417120).

Almost surely, 2123231021000 is an apocalyptic number.

123231021000 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 123231021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193754695680).

123231021000 is an abundant number, since it is smaller than the sum of its proper divisors (264278370360).

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

123231021000 is a wasteful number, since it uses less digits than its factorization.

123231021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323592 (or 323578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123231021000 its reverse (120132321), we get a palindrome (123351153321).

The spelling of 123231021000 in words is "one hundred twenty-three billion, two hundred thirty-one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 25400 31750 38100 47625 63500 76200 95250 127000 190500 323441 381000 646882 970323 1293764 1617205 1940646 2587528 3234410 3881292 4851615 6468820 7762584 8086025 9703230 12937640 16172050 19406460 24258075 32344100 38812920 40430125 41077007 48516150 64688200 80860250 82154014 97032300 121290375 123231021 161720500 164308028 194064600 205385035 242580750 246462042 323441000 328616056 410770070 485161500 492924084 616155105 821540140 970323000 985848168 1026925175 1232310210 1643080280 2053850350 2464620420 3080775525 4107700700 4929240840 5134625875 6161551050 8215401400 10269251750 12323102100 15403877625 20538503500 24646204200 30807755250 41077007000 61615510500 123231021000