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213004314404 = 227231181280061
BaseRepresentation
bin1100011001100000001…
…0111110011100100100
3202100210122012022012122
43012120002332130210
511442213101030104
6241504113405112
721250305541040
oct3063002763444
9670718168178
10213004314404
1182375423082
1235346869798
131711757187b
14a449251020
155819e796be
hex31980be724

213004314404 has 48 divisors (see below), whose sum is σ = 444908733696. Its totient is φ = 87244291200.

The previous prime is 213004314377. The next prime is 213004314443. The reversal of 213004314404 is 404413400312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620534 + ... + 900594.

It is an arithmetic number, because the mean of its divisors is an integer number (9268931952).

Almost surely, 2213004314404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213004314404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222454366848).

213004314404 is an abundant number, since it is smaller than the sum of its proper divisors (231904419292).

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

213004314404 is a wasteful number, since it uses less digits than its factorization.

213004314404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281276 (or 281274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 213004314404 its reverse (404413400312), we get a palindrome (617417714716).

The spelling of 213004314404 in words is "two hundred thirteen billion, four million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1181 2362 4724 8267 16534 27163 33068 54326 108652 190141 280061 380282 560122 760564 1120244 1960427 3920854 6441403 7841708 12882806 25765612 45089821 90179642 180359284 330752041 661504082 1323008164 2315264287 4630528574 7607296943 9261057148 15214593886 30429187772 53251078601 106502157202 213004314404