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232023302113300 = 2252236713671101439
BaseRepresentation
bin110100110000011000100010…
…100000001000100000010100
31010102112012200212012200010221
4310300120202200020200110
5220402432210320111200
62141250011122524124
766605062503142345
oct6460304240104024
91112465625180127
10232023302113300
1167a25591231865
1222033806506644
139c6091b7ac2c9
144141db85120cc
151bc56d293091a
hexd30622808814

232023302113300 has 144 divisors (see below), whose sum is σ = 533613526548480. Its totient is φ = 87385095008640.

The previous prime is 232023302113237. The next prime is 232023302113381. The reversal of 232023302113300 is 3311203320232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210103981 + ... + 211205419.

It is an arithmetic number, because the mean of its divisors is an integer number (3705649489920).

Almost surely, 2232023302113300 is an apocalyptic number.

232023302113300 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 232023302113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266806763274240).

232023302113300 is an abundant number, since it is smaller than the sum of its proper divisors (301590224435180).

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

232023302113300 is a wasteful number, since it uses less digits than its factorization.

232023302113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102910 (or 1102903 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 232023302113300 its reverse (3311203320232), we get a palindrome (235334505433532).

The spelling of 232023302113300 in words is "two hundred thirty-two trillion, twenty-three billion, three hundred two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 67 92 100 115 134 230 268 335 460 575 670 1150 1340 1367 1541 1675 2300 2734 3082 3350 5468 6164 6700 6835 7705 13670 15410 27340 30820 31441 34175 38525 62882 68350 77050 91589 125764 136700 154100 157205 183178 314410 366356 457945 628820 786025 915890 1101439 1572050 1831780 2106547 2202878 2289725 3144100 4213094 4405756 4579450 5507195 8426188 9158900 10532735 11014390 21065470 22028780 25333097 27535975 42130940 50666194 52663675 55071950 73796413 101332388 105327350 110143900 126665485 147592826 210654700 253330970 295185652 368982065 506661940 633327425 737964130 1266654850 1475928260 1505667113 1697317499 1844910325 2533309700 3011334226 3394634998 3689820650 6022668452 6789269996 7379641300 7528335565 8486587495 15056671130 16973174990 30113342260 33946349980 34630343599 37641677825 42432937475 69260687198 75283355650 84865874950 100879696571 138521374396 150566711300 169731749900 173151717995 201759393142 346303435990 403518786284 504398482855 692606871980 865758589975 1008796965710 1731517179950 2017593931420 2320233021133 2521992414275 3463034359900 4640466042266 5043984828550 9280932084532 10087969657100 11601165105665 23202330211330 46404660422660 58005825528325 116011651056650 232023302113300