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213424030314 = 232114159445597
BaseRepresentation
bin1100011011000100010…
…0000100001001101010
3202101212212222002012100
43012301010010021222
511444043022432224
6242013505354230
721263563216425
oct3066104041152
9671785862170
10213424030314
1182570334930
1235443338976
13171834c7191
14a488ca89bc
155841c34ac9
hex31b110426a

213424030314 has 96 divisors (see below), whose sum is σ = 525520457280. Its totient is φ = 62026963200.

The previous prime is 213424030283. The next prime is 213424030331. The reversal of 213424030314 is 413030424312.

213424030314 is a `hidden beast` number, since 2 + 1 + 342 + 4 + 0 + 3 + 0 + 314 = 666.

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, 256164 + ... + 701760.

It is an arithmetic number, because the mean of its divisors is an integer number (5474171430).

Almost surely, 2213424030314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213424030314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262760228640).

213424030314 is an abundant number, since it is smaller than the sum of its proper divisors (312096426966).

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

213424030314 is a wasteful number, since it uses less digits than its factorization.

213424030314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445716 (or 445713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213424030314 its reverse (413030424312), we get a palindrome (626454454626).

The spelling of 213424030314 in words is "two hundred thirteen billion, four hundred twenty-four million, thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 59 66 82 99 118 123 177 198 246 354 369 451 531 649 738 902 1062 1298 1353 1947 2419 2706 3894 4059 4838 5841 7257 8118 11682 14514 21771 26609 43542 53218 79827 159654 239481 445597 478962 891194 1336791 2673582 4010373 4901567 8020746 9803134 14704701 18269477 26290223 29409402 36538954 44114103 52580446 54808431 78870669 88228206 109616862 157741338 164425293 200964247 236612007 289192453 328850586 401928494 473224014 578384906 602892741 867577359 1077899143 1205785482 1735154718 1808678223 2155798286 2602732077 3233697429 3617356446 5205464154 6467394858 9701092287 11856890573 19402184574 23713781146 35570671719 71141343438 106712015157 213424030314