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213313110 = 235174371137
BaseRepresentation
bin11001011011011…
…10011001010110
3112212101102120120
430231232121112
5414102004420
633100012410
75200063053
oct1455563126
9485342516
10213313110
11aa45632a
125b531106
1335268b9a
142048a02a
1513ad8d40
hexcb6e656

213313110 has 128 divisors (see below), whose sum is σ = 566590464. Its totient is φ = 51179520.

The previous prime is 213313099. The next prime is 213313123. The reversal of 213313110 is 11313312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213313110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1556962 + ... + 1557098.

It is an arithmetic number, because the mean of its divisors is an integer number (4426488).

Almost surely, 2213313110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283295232).

213313110 is an abundant number, since it is smaller than the sum of its proper divisors (353277354).

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

213313110 is a wasteful number, since it uses less digits than its factorization.

213313110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 213313110 is about 14605.2425519058. The cubic root of 213313110 is about 597.5017512481.

Adding to 213313110 its reverse (11313312), we get a palindrome (224626422).

The spelling of 213313110 in words is "two hundred thirteen million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 71 85 86 102 129 137 142 170 213 215 255 258 274 355 411 426 430 510 645 685 710 731 822 1065 1207 1290 1370 1462 2055 2130 2193 2329 2414 3053 3621 3655 4110 4386 4658 5891 6035 6106 6987 7242 7310 9159 9727 10965 11645 11782 12070 13974 15265 17673 18105 18318 19454 21930 23290 29181 29455 30530 34935 35346 36210 45795 48635 51901 58362 58910 69870 88365 91590 97270 100147 103802 145905 155703 165359 176730 200294 259505 291810 300441 311406 330718 418261 496077 500735 519010 600882 778515 826795 836522 992154 1001470 1254783 1502205 1557030 1653590 2091305 2480385 2509566 3004410 4182610 4960770 6273915 7110437 12547830 14220874 21331311 35552185 42662622 71104370 106656555 213313110