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203112303121320 = 233522740131858061
BaseRepresentation
bin101110001011101011000100…
…101011010101001110101000
3222122011100100122000222220020
4232023223010223111032220
5203110242444044340240
61555552300502400440
760532244134333515
oct5613530453251650
9878140318028806
10203112303121320
1159799497a9228a
121a944637430120
13894453c4b4758
14382298b94230c
15187363cbb70d0
hexb8bac4ad53a8

203112303121320 has 128 divisors (see below), whose sum is σ = 612174052045440. Its totient is φ = 53911209559040.

The previous prime is 203112303121319. The next prime is 203112303121349. The reversal of 203112303121320 is 23121303211302.

203112303121320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 108385090 + ... + 110243150.

It is an arithmetic number, because the mean of its divisors is an integer number (4782609781605).

Almost surely, 2203112303121320 is an apocalyptic number.

203112303121320 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 203112303121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306087026022720).

203112303121320 is an abundant number, since it is smaller than the sum of its proper divisors (409061748924120).

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

203112303121320 is a wasteful number, since it uses less digits than its factorization.

203112303121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862315 (or 1862311 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 203112303121320 its reverse (23121303211302), we get a palindrome (226233606332622).

The spelling of 203112303121320 in words is "two hundred three trillion, one hundred twelve billion, three hundred three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2270 2724 3405 4013 4540 5448 6810 8026 9080 12039 13620 16052 20065 24078 27240 32104 40130 48156 60195 80260 96312 120390 160520 240780 481560 910951 1821902 1858061 2732853 3643804 3716122 4554755 5465706 5574183 7287608 7432244 9109510 9290305 10931412 11148366 13664265 14864488 18219020 18580610 21862824 22296732 27328530 27870915 36438040 37161220 44593464 54657060 55741830 74322440 109314120 111483660 222967320 421779847 843559694 1265339541 1687119388 2108899235 2530679082 3374238776 4217798470 5061358164 6326697705 7456398793 8435596940 10122716328 12653395410 14912797586 16871193880 22369196379 25306790820 29825595172 37281993965 44738392758 50613581640 59651190344 74563987930 89476785516 111845981895 149127975860 178953571032 223691963790 298255951720 447383927580 894767855160 1692602526011 3385205052022 5077807578033 6770410104044 8463012630055 10155615156066 13540820208088 16926025260110 20311230312132 25389037890165 33852050520220 40622460624264 50778075780330 67704101040440 101556151560660 203112303121320