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213122332110 = 235376716317581
BaseRepresentation
bin1100011001111100010…
…1001011010111001110
3202101002212021020001210
43012133011023113032
511442433304111420
6241523531115250
721253240635012
oct3063705132716
9671085236053
10213122332110
1182426000576
123537a2a2b26
1317135b5342c
14a45abb2542
1558254dc9e0
hex319f14b5ce

213122332110 has 128 divisors (see below), whose sum is σ = 536459733504. Its totient is φ = 54134023680.

The previous prime is 213122332099. The next prime is 213122332127. The reversal of 213122332110 is 11233221312.

It is a super-2 number, since 2×2131223321102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 12113520 + ... + 12131100.

It is an arithmetic number, because the mean of its divisors is an integer number (4191091668).

Almost surely, 2213122332110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213122332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268229866752).

213122332110 is an abundant number, since it is smaller than the sum of its proper divisors (323337401394).

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

213122332110 is a wasteful number, since it uses less digits than its factorization.

213122332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17858.

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

Adding to 213122332110 its reverse (11233221312), we get a palindrome (224355553422).

The spelling of 213122332110 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 163 185 201 222 326 335 370 402 489 555 670 815 978 1005 1110 1630 2010 2445 2479 4890 4958 6031 7437 10921 12062 12395 14874 17581 18093 21842 24790 30155 32763 35162 36186 37185 52743 54605 60310 65526 74370 87905 90465 105486 109210 163815 175810 180930 263715 327630 404077 527430 650497 808154 1177927 1212231 1300994 1951491 2020385 2355854 2424462 2865703 3252485 3533781 3902982 4040770 5731406 5889635 6061155 6504970 7067562 8597109 9757455 11779270 12122310 14328515 17194218 17668905 19514910 28657030 35337810 42985545 43583299 85971090 87166598 106031011 130749897 192002101 212062022 217916495 261499794 318093033 384004202 435832990 530155055 576006303 636186066 653749485 960010505 1060310110 1152012606 1307498970 1590465165 1920021010 2880031515 3180930330 5760063030 7104077737 14208155474 21312233211 35520388685 42624466422 71040777370 106561166055 213122332110