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230320013202 = 232197352117707
BaseRepresentation
bin1101011010000000100…
…1000111111110010010
3211000111101201221110100
43112200021013332102
512233143410410302
6253450233113230
722432354544646
oct3264011077622
9730441657410
10230320013202
1189750708954
1238779858816
1318946a9b4a6
14b20cc2cc26
155ed0211d1c
hex35a0247f92

230320013202 has 96 divisors (see below), whose sum is σ = 533539206720. Its totient is φ = 71594565120.

The previous prime is 230320013201. The next prime is 230320013233. The reversal of 230320013202 is 202310023032.

It is a happy number.

230320013202 is a `hidden beast` number, since 23 + 0 + 320 + 0 + 1 + 320 + 2 = 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 (230320013201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12998433 + ... + 13016139.

It is an arithmetic number, because the mean of its divisors is an integer number (5557700070).

Almost surely, 2230320013202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230320013202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266769603360).

230320013202 is an abundant number, since it is smaller than the sum of its proper divisors (303219193518).

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

230320013202 is a wasteful number, since it uses less digits than its factorization.

230320013202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18328 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230320013202 its reverse (202310023032), we get a palindrome (432630036234).

The spelling of 230320013202 in words is "two hundred thirty billion, three hundred twenty million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 219 342 438 521 657 1042 1314 1387 1563 2774 3126 4161 4689 8322 9378 9899 12483 17707 19798 24966 29697 35414 38033 53121 59394 76066 89091 106242 114099 159363 178182 228198 318726 336433 342297 672866 684594 722627 1009299 1292611 1445254 2018598 2167881 2585222 3027897 3877833 4335762 6055794 6503643 7755666 9225347 11633499 13007286 18450694 23266998 24559609 27676041 49119218 55352082 73678827 83028123 147357654 166056246 175281593 221036481 350563186 442072962 525844779 673450331 1051689558 1346900662 1577534337 2020350993 3155068674 4040701986 6061052979 12122105958 12795556289 25591112578 38386668867 76773337734 115160006601 230320013202