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103210230312 = 233271163176081
BaseRepresentation
bin110000000011111001…
…1110010001000101000
3100212101220020221100200
41200013303302020220
53142333304332222
6115225241232200
710312434324360
oct1400763621050
9325356227320
10103210230312
113a853536702
1218004a92660
13996a9208c7
144dd154d9a0
152a40ea8eac
hex1807cf2228

103210230312 has 96 divisors (see below), whose sum is σ = 319736738880. Its totient is φ = 29463114240.

The previous prime is 103210230287. The next prime is 103210230317. The reversal of 103210230312 is 213032012301.

103210230312 is a `hidden beast` number, since 1 + 0 + 321 + 0 + 2 + 30 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103210230317) 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, 498112 + ... + 674192.

It is an arithmetic number, because the mean of its divisors is an integer number (3330591030).

Almost surely, 2103210230312 is an apocalyptic number.

103210230312 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 103210230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868369440).

103210230312 is an abundant number, since it is smaller than the sum of its proper divisors (216526508568).

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

103210230312 is a wasteful number, since it uses less digits than its factorization.

103210230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177263 (or 177256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103210230312 its reverse (213032012301), we get a palindrome (316242242613).

The spelling of 103210230312 in words is "one hundred three billion, two hundred ten million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1163 2326 3489 4652 6978 8141 9304 10467 13956 16282 20934 24423 27912 32564 41868 48846 65128 73269 83736 97692 146538 176081 195384 293076 352162 528243 586152 704324 1056486 1232567 1408648 1584729 2112972 2465134 3169458 3697701 4225944 4930268 6338916 7395402 9860536 11093103 12677832 14790804 22186206 29581608 44372412 88744824 204782203 409564406 614346609 819128812 1228693218 1433475421 1638257624 1843039827 2457386436 2866950842 3686079654 4300426263 4914772872 5733901684 7372159308 8600852526 11467803368 12901278789 14744318616 17201705052 25802557578 34403410104 51605115156 103210230312