Search a number
-
+
213242131140 = 223519473979883
BaseRepresentation
bin1100011010011000111…
…0001011001011000100
3202101102012200122102220
43012212032023023010
511443204441144030
6241543450532340
721256224131223
oct3064616131304
9671365618386
10213242131140
1182487695335
12353b24370b0
1317154909a2c
14a46ca78cba
155830ca3a10
hex31a638b2c4

213242131140 has 96 divisors (see below), whose sum is σ = 641875691520. Its totient is φ = 52725476736.

The previous prime is 213242131139. The next prime is 213242131171. The reversal of 213242131140 is 41131242312.

It is a self number, because there is not a number n which added to its sum of digits gives 213242131140.

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 31 ways as a sum of consecutive naturals, for example, 1936362 + ... + 2043521.

It is an arithmetic number, because the mean of its divisors is an integer number (6686205120).

Almost surely, 2213242131140 is an apocalyptic number.

213242131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242131140 is an abundant number, since it is smaller than the sum of its proper divisors (428633560380).

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

213242131140 is a wasteful number, since it uses less digits than its factorization.

213242131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979961 (or 3979959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213242131140 its reverse (41131242312), we get a palindrome (254373373452).

The spelling of 213242131140 in words is "two hundred thirteen billion, two hundred forty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 2679 2820 3572 4465 5358 8930 10716 13395 17860 26790 53580 3979883 7959766 11939649 15919532 19899415 23879298 39798830 47758596 59698245 75617777 79597660 119396490 151235554 187054501 226853331 238792980 302471108 374109002 378088885 453706662 561163503 748218004 756177770 907413324 935272505 1122327006 1134266655 1512355540 1870545010 2244654012 2268533310 2805817515 3554035519 3741090020 4537066620 5611635030 7108071038 10662106557 11223270060 14216142076 17770177595 21324213114 35540355190 42648426228 53310532785 71080710380 106621065570 213242131140