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213201322110 = 232572137352883
BaseRepresentation
bin1100011010001111001…
…0100000000001111110
3202101022100220022222100
43012203302200001332
511443114014301420
6241535432125530
721255220223400
oct3064362400176
9671270808870
10213201322110
1182466651967
12353a08368a6
131714931bb8a
14a467494b70
15582c3e2190
hex31a3ca007e

213201322110 has 144 divisors (see below), whose sum is σ = 649533817296. Its totient is φ = 48375887616.

The previous prime is 213201322069. The next prime is 213201322157. The reversal of 213201322110 is 11223102312.

213201322110 is a `hidden beast` number, since 2 + 1 + 320 + 132 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 427729 + ... + 780611.

It is an arithmetic number, because the mean of its divisors is an integer number (4510651509).

Almost surely, 2213201322110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213201322110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324766908648).

213201322110 is an abundant number, since it is smaller than the sum of its proper divisors (436332495186).

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

213201322110 is a wasteful number, since it uses less digits than its factorization.

213201322110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353047 (or 353037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213201322110 its reverse (11223102312), we get a palindrome (224424424422).

The spelling of 213201322110 in words is "two hundred thirteen billion, two hundred one million, three hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 137 147 210 245 274 294 315 411 441 490 630 685 735 822 882 959 1233 1370 1470 1918 2055 2205 2466 2877 4110 4410 4795 5754 6165 6713 8631 9590 12330 13426 14385 17262 20139 28770 33565 40278 43155 60417 67130 86310 100695 120834 201390 302085 352883 604170 705766 1058649 1764415 2117298 2470181 3175947 3528830 4940362 5293245 6351894 7410543 10586490 12350905 14821086 15879735 17291267 22231629 24701810 31759470 34582534 37052715 44463258 48344971 51873801 74105430 86456335 96689942 103747602 111158145 145034913 155621403 172912670 222316290 241724855 259369005 290069826 311242806 338414797 435104739 483449710 518738010 676829594 725174565 778107015 870209478 1015244391 1450349130 1556214030 1692073985 2030488782 2175523695 2368903579 3045733173 3384147970 4351047390 4737807158 5076221955 6091466346 7106710737 10152443910 11844517895 14213421474 15228665865 21320132211 23689035790 30457331730 35533553685 42640264422 71067107370 106600661055 213201322110