Search a number
-
+
212203323212320 = 25511313889357097
BaseRepresentation
bin110000001111111101101111…
…101100110100001000100000
31000211100102212110012112011001
4300033331233230310020200
5210303214401220243240
62031152505541401344
762461120112164636
oct6017755754641040
91024312773175131
10212203323212320
1161683a18907a10
121b972513709254
1391538c261954b
143a589a4bc3356
15197ed6706e89a
hexc0ff6fb34220

212203323212320 has 96 divisors (see below), whose sum is σ = 564547961488896. Its totient is φ = 74675656243200.

The previous prime is 212203323212303. The next prime is 212203323212323. The reversal of 212203323212320 is 23212323302212.

212203323212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212203323212323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1944623989 + ... + 1944733108.

It is an arithmetic number, because the mean of its divisors is an integer number (5880707932176).

Almost surely, 2212203323212320 is an apocalyptic number.

212203323212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212203323212320 is an abundant number, since it is smaller than the sum of its proper divisors (352344638276576).

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

212203323212320 is a wasteful number, since it uses less digits than its factorization.

212203323212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889357154 (or 3889357146 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 212203323212320 its reverse (23212323302212), we get a palindrome (235415646514532).

The spelling of 212203323212320 in words is "two hundred twelve trillion, two hundred three billion, three hundred twenty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 3889357097 7778714194 15557428388 19446785485 31114856776 38893570970 42782928067 62229713552 77787141940 85565856134 120570070007 124459427104 155574283880 171131712268 213914640335 241140140014 311148567760 342263424536 427829280670 482280280028 602850350035 622297135520 684526849072 855658561340 964560560056 1205700700070 1326270770077 1369053698144 1711317122680 1929121120112 2411401400140 2652541540154 3422634245360 3858242240224 4822802800280 5305083080308 6631353850385 6845268490720 9645605600560 10610166160616 13262707700770 19291211201120 21220332321232 26525415401540 42440664642464 53050830803080 106101661606160 212203323212320