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10233123140232 = 2332892447652607
BaseRepresentation
bin1001010011101001010110…
…1010110111001010001000
31100020021110221112210200100
42110322111222313022020
52320124414010441412
633433010515005400
72104214221343256
oct224722552671210
940207427483610
1010233123140232
113295930265783
1211932b8299860
13592c968aa355
142754003575d6
1512b2c12aaedc
hex94e95ab7288

10233123140232 has 96 divisors (see below), whose sum is σ = 28037605939200. Its totient is φ = 3371331270912.

The previous prime is 10233123140213. The next prime is 10233123140237. The reversal of 10233123140232 is 23204132133201.

10233123140232 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 312 + 314 + 0 + 2 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10233123140196 and 10233123140205.

It is not an unprimeable number, because it can be changed into a prime (10233123140237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15354073 + ... + 16006679.

It is an arithmetic number, because the mean of its divisors is an integer number (292058395200).

Almost surely, 210233123140232 is an apocalyptic number.

10233123140232 is a gapful number since it is divisible by the number (12) 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 10233123140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018802969600).

10233123140232 is an abundant number, since it is smaller than the sum of its proper divisors (17804482798968).

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

10233123140232 is a wasteful number, since it uses less digits than its factorization.

10233123140232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655155 (or 655148 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10233123140232 its reverse (23204132133201), we get a palindrome (33437255273433).

The spelling of 10233123140232 in words is "ten trillion, two hundred thirty-three billion, one hundred twenty-three million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 2447 3204 4894 6408 7341 9788 14682 19576 22023 29364 44046 58728 88092 176184 217783 435566 652607 653349 871132 1305214 1306698 1742264 1957821 1960047 2610428 2613396 3915642 3920094 5220856 5226792 5873463 7831284 7840188 11746926 15662568 15680376 23493852 46987704 58082023 116164046 174246069 232328092 348492138 464656184 522738207 696984276 1045476414 1393968552 1596929329 2090952828 3193858658 4181905656 4790787987 6387717316 9581575974 12775434632 14372363961 19163151948 28744727922 38326303896 57489455844 114978911688 142126710281 284253420562 426380130843 568506841124 852760261686 1137013682248 1279140392529 1705520523372 2558280785058 3411041046744 5116561570116 10233123140232