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232010001200112 = 24337313449392893
BaseRepresentation
bin110100110000001100001001…
…101101001011001111110000
31010102110221100220012021101120
4310300030021231023033300
5220402222440301400422
62141235531222102240
766604112054222652
oct6460141155131760
91112427326167346
10232010001200112
1167a1a986209923
1222031113b7a980
139c5c5abc7cc85
1441414b5c166d2
151bc51a4d8e45c
hexd30309b4b3f0

232010001200112 has 160 divisors (see below), whose sum is σ = 617668796125248. Its totient is φ = 74988581511168.

The previous prime is 232010001200063. The next prime is 232010001200119. The reversal of 232010001200112 is 211002100010232.

It is a junction number, because it is equal to n+sod(n) for n = 232010001200091 and 232010001200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232010001200119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497558338 + ... + 2497651230.

Almost surely, 2232010001200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232010001200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308834398062624).

232010001200112 is an abundant number, since it is smaller than the sum of its proper divisors (385658794925136).

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

232010001200112 is a wasteful number, since it uses less digits than its factorization.

232010001200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97747 (or 97741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 232010001200112 its reverse (211002100010232), we get a palindrome (443012101210344).

The spelling of 232010001200112 in words is "two hundred thirty-two trillion, ten billion, one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 313 444 592 626 888 939 1252 1776 1878 2504 3756 4493 5008 7512 8986 11581 13479 15024 17972 23162 26958 34743 35944 46324 53916 69486 71888 92648 92893 107832 138972 166241 185296 185786 215664 277944 278679 332482 371572 498723 555888 557358 664964 743144 997446 1114716 1329928 1406309 1486288 1994892 2229432 2659856 2812618 3437041 3989784 4218927 4458864 5625236 6874082 7979568 8437854 10311123 11250472 13748164 16875708 20622246 22500944 27496328 29075509 33751416 41244492 52033433 54992656 58151018 67502832 82488984 87226527 104066866 116302036 156100299 164977968 174453054 208133732 232604072 312200598 348906108 416267464 417368249 465208144 624401196 697812216 832534928 834736498 1075793833 1248802392 1252104747 1395624432 1669472996 2151587666 2497604784 2504209494 3227381499 3338945992 4303175332 5008418988 6454762998 6677891984 8606350664 10016837976 12909525996 15442625213 17212701328 20033675952 25819051992 30885250426 46327875639 51638103984 61770500852 92655751278 123541001704 130636261937 185311502556 247082003408 261272523874 370623005112 391908785811 522545047748 741246010224 783817571622 1045090095496 1567635143244 2090180190992 3135270286488 4833541691669 6270540572976 9667083383338 14500625075007 19334166766676 29001250150014 38668333533352 58002500300028 77336667066704 116005000600056 232010001200112