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213302203320 = 233523157492251
BaseRepresentation
bin1100011010100111001…
…1010101001110111000
3202101120101201121222110
43012221303111032320
511443320331001240
6241553434252320
721260553545613
oct3065163251670
9671511647873
10213302203320
1182508595468
123540a5870a0
13171641b07bb
14a476a3517a
1558361bcc80
hex31a9cd53b8

213302203320 has 128 divisors (see below), whose sum is σ = 671983050240. Its totient is φ = 54060864000.

The previous prime is 213302203273. The next prime is 213302203381. The reversal of 213302203320 is 23302203312.

It is a super-3 number, since 3×2133022033203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187195 + ... + 679445.

It is an arithmetic number, because the mean of its divisors is an integer number (5249867580).

Almost surely, 2213302203320 is an apocalyptic number.

213302203320 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 213302203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335991525120).

213302203320 is an abundant number, since it is smaller than the sum of its proper divisors (458680846920).

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

213302203320 is a wasteful number, since it uses less digits than its factorization.

213302203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492445 (or 492441 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213302203320 its reverse (23302203312), we get a palindrome (236604406632).

The spelling of 213302203320 in words is "two hundred thirteen billion, three hundred two million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 157 184 230 276 314 345 460 471 552 628 690 785 920 942 1256 1380 1570 1884 2355 2760 3140 3611 3768 4710 6280 7222 9420 10833 14444 18055 18840 21666 28888 36110 43332 54165 72220 86664 108330 144440 216660 433320 492251 984502 1476753 1969004 2461255 2953506 3938008 4922510 5907012 7383765 9845020 11321773 11814024 14767530 19690040 22643546 29535060 33965319 45287092 56608865 59070120 67930638 77283407 90574184 113217730 135861276 154566814 169826595 226435460 231850221 271722552 309133628 339653190 386417035 452870920 463700442 618267256 679306380 772834070 927400884 1159251105 1358612760 1545668140 1777518361 1854801768 2318502210 3091336280 3555036722 4637004420 5332555083 7110073444 8887591805 9274008840 10665110166 14220146888 17775183610 21330220332 26662775415 35550367220 42660440664 53325550830 71100734440 106651101660 213302203320