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203211312330 = 235132815093643
BaseRepresentation
bin1011110101000001010…
…1101000110011001010
3201102112010221020212010
42331100111220303022
511312134043443310
6233204243400350
720452523440425
oct2752025506312
9642463836763
10203211312330
11791aa540734
12334730830b6
131621671b9a0
149b9a7b29bc
155445359320
hex2f50568cca

203211312330 has 128 divisors (see below), whose sum is σ = 528272720640. Its totient is φ = 49731655680.

The previous prime is 203211312277. The next prime is 203211312341. The reversal of 203211312330 is 33213112302.

203211312330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 203211312297 and 203211312306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55779489 + ... + 55783131.

It is an arithmetic number, because the mean of its divisors is an integer number (4127130630).

Almost surely, 2203211312330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203211312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264136360320).

203211312330 is an abundant number, since it is smaller than the sum of its proper divisors (325061408310).

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

203211312330 is a wasteful number, since it uses less digits than its factorization.

203211312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 203211312330 its reverse (33213112302), we get a palindrome (236424424632).

The spelling of 203211312330 in words is "two hundred three billion, two hundred eleven million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 281 390 509 562 843 1018 1405 1527 1686 2545 2810 3054 3643 3653 4215 5090 6617 7286 7306 7635 8430 10929 10959 13234 15270 18215 18265 19851 21858 21918 33085 36430 36530 39702 47359 54645 54795 66170 94718 99255 109290 109590 142077 143029 198510 236795 284154 286058 429087 473590 710385 715145 858174 1023683 1420770 1430290 1854287 1859377 2047366 2145435 3071049 3708574 3718754 4290870 5118415 5562861 5578131 6142098 9271435 9296885 10236830 11125722 11156262 13307879 15355245 18542870 18593770 24105731 26615758 27814305 27890655 30710490 39923637 48211462 55628610 55781310 66539395 72317193 79847274 120528655 133078790 144634386 199618185 241057310 361585965 399236370 521054647 723171930 1042109294 1563163941 2605273235 3126327882 5210546470 6773710411 7815819705 13547420822 15631639410 20321131233 33868552055 40642262466 67737104110 101605656165 203211312330