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110200212135 = 325131929211789
BaseRepresentation
bin110011010100001110…
…0011100101010100111
3101112110001010210210100
41212220130130222213
53301142223242020
6122343020555143
710650602230206
oct1465034345247
9345401123710
10110200212135
1142810168492
12194359b2ab3
13a512b29920
145495a1d23d
152cee994a90
hex19a871caa7

110200212135 has 144 divisors (see below), whose sum is σ = 224276925600. Its totient is φ = 49620501504.

The previous prime is 110200212037. The next prime is 110200212137. The reversal of 110200212135 is 531212002011.

It is not a de Polignac number, because 110200212135 - 214 = 110200195751 is a prime.

110200212135 is a modest number, since divided by 212135 gives 110200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110200212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9341821 + ... + 9353609.

It is an arithmetic number, because the mean of its divisors is an integer number (1557478650).

Almost surely, 2110200212135 is an apocalyptic number.

110200212135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

110200212135 is an abundant number, since it is smaller than the sum of its proper divisors (114076713465).

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

110200212135 is a wasteful number, since it uses less digits than its factorization.

110200212135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 110200212135 its reverse (531212002011), we get a palindrome (641412214146).

The spelling of 110200212135 in words is "one hundred ten billion, two hundred million, two hundred twelve thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 19 29 39 45 57 65 87 95 117 145 171 195 247 261 285 377 435 551 585 741 841 855 1131 1235 1305 1653 1885 2223 2523 2755 3393 3705 4205 4959 5655 7163 7569 8265 10933 11115 11789 12615 15979 16965 21489 24795 32799 35367 35815 37845 47937 54665 58945 64467 79895 98397 106101 107445 143811 153257 163995 176835 207727 223991 239685 322335 341881 459771 491985 530505 623181 671973 719055 766285 1025643 1038635 1119955 1379313 1709405 1869543 2015919 2298855 2911883 3076929 3115905 3359865 4444453 5128215 6495739 6896565 8735649 9347715 9914549 10079595 13333359 14559415 15384645 19487217 22222265 26206947 29743647 32478695 40000077 43678245 49572745 58461651 66666795 84444607 89230941 97436085 128889137 131034735 148718235 188376431 200000385 253333821 292308255 386667411 422223035 446154705 565129293 644445685 760001463 941882155 1160002233 1266669105 1695387879 1933337055 2448893603 2825646465 3800007315 5800011165 7346680809 8476939395 12244468015 22040042427 36733404045 110200212135