Search a number
-
+
214211313300 = 223521288955399
BaseRepresentation
bin1100011101111111111…
…1010011111010010100
3202110220202101012102110
43013133333103322110
512002201044011200
6242223551511020
721322233056205
oct3073777237224
9673822335373
10214211313300
118293477a226
1235622b28470
131727a6468ba
14a5216835ac
15588ade8b50
hex31dffd3e94

214211313300 has 72 divisors (see below), whose sum is σ = 619844008000. Its totient is φ = 57117553920.

The previous prime is 214211313263. The next prime is 214211313359. The reversal of 214211313300 is 3313112412.

214211313300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3839001 + ... + 3894399.

Almost surely, 2214211313300 is an apocalyptic number.

214211313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211313300 is an abundant number, since it is smaller than the sum of its proper divisors (405632694700).

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

214211313300 is a wasteful number, since it uses less digits than its factorization.

214211313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68305 (or 68298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 214211313300 its reverse (3313112412), we get a palindrome (217524425712).

The spelling of 214211313300 in words is "two hundred fourteen billion, two hundred eleven million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12889 25778 38667 51556 55399 64445 77334 110798 128890 154668 166197 193335 221596 257780 276995 322225 332394 386670 553990 644450 664788 773340 830985 966675 1107980 1288900 1384975 1661970 1933350 2769950 3323940 3866700 4154925 5539900 8309850 16619700 714037711 1428075422 2142113133 2856150844 3570188555 4284226266 7140377110 8568452532 10710565665 14280754220 17850942775 21421131330 35701885550 42842262660 53552828325 71403771100 107105656650 214211313300