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231210123000 = 23353578313327
BaseRepresentation
bin1101011101010100110…
…0100111111011111000
3211002210102122012112220
43113111030213323320
512242004242414000
6254114431204040
722463413422153
oct3272514477370
9732712565486
10231210123000
118a0680a558a
1238987976620
1318a5931128c
14b295132c9a
1560334381a0
hex35d5327ef8

231210123000 has 128 divisors (see below), whose sum is σ = 721554462720. Its totient is φ = 61640745600.

The previous prime is 231210122963. The next prime is 231210123083. The reversal of 231210123000 is 321012132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17342337 + ... + 17355663.

It is an arithmetic number, because the mean of its divisors is an integer number (5637144240).

Almost surely, 2231210123000 is an apocalyptic number.

231210123000 is a gapful number since it is divisible by the number (20) 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 231210123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360777231360).

231210123000 is an abundant number, since it is smaller than the sum of its proper divisors (490344339720).

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

231210123000 is a wasteful number, since it uses less digits than its factorization.

231210123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134 (or 19120 counting only the distinct ones).

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

Adding to 231210123000 its reverse (321012132), we get a palindrome (231531135132).

The spelling of 231210123000 in words is "two hundred thirty-one billion, two hundred ten million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5783 11566 13327 17349 23132 26654 28915 34698 39981 46264 53308 57830 66635 69396 79962 86745 106616 115660 133270 138792 144575 159924 173490 199905 231320 266540 289150 319848 333175 346980 399810 433725 533080 578300 666350 693960 722875 799620 867450 999525 1156600 1332700 1445750 1599240 1665875 1734900 1999050 2168625 2665400 2891500 3331750 3469800 3998100 4337250 4997625 5783000 6663500 7996200 8674500 9995250 13327000 17349000 19990500 39981000 77070041 154140082 231210123 308280164 385350205 462420246 616560328 770700410 924840492 1156050615 1541400820 1849680984 1926751025 2312101230 3082801640 3853502050 4624202460 5780253075 7707004100 9248404920 9633755125 11560506150 15414008200 19267510250 23121012300 28901265375 38535020500 46242024600 57802530750 77070041000 115605061500 231210123000