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211223104014 = 2313236711631511
BaseRepresentation
bin1100010010110111100…
…0001100101000001110
3202012012111112102220110
43010231320030220032
511430041103312024
6241011244100450
721155206521606
oct3045570145016
9665174472813
10211223104014
1181640a3237a
1234b2a234726
1316bc2530020
14a31a869c06
1557638d3629
hex312de0ca0e

211223104014 has 128 divisors (see below), whose sum is σ = 482540986368. Its totient is φ = 61144997760.

The previous prime is 211223104009. The next prime is 211223104033. The reversal of 211223104014 is 410401322112.

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 63 ways as a sum of consecutive naturals, for example, 139789519 + ... + 139791029.

It is an arithmetic number, because the mean of its divisors is an integer number (3769851456).

Almost surely, 2211223104014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211223104014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241270493184).

211223104014 is an abundant number, since it is smaller than the sum of its proper divisors (271317882354).

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

211223104014 is a wasteful number, since it uses less digits than its factorization.

211223104014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211223104014 its reverse (410401322112), we get a palindrome (621624426126).

The spelling of 211223104014 in words is "two hundred eleven billion, two hundred twenty-three million, one hundred four thousand, fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 67 69 78 134 138 201 299 402 598 871 897 1163 1511 1541 1742 1794 2326 2613 3022 3082 3489 4533 4623 5226 6978 9066 9246 15119 19643 20033 26749 30238 34753 39286 40066 45357 53498 58929 60099 69506 77921 80247 90714 101237 104259 117858 120198 155842 160494 202474 208518 233763 303711 347737 451789 467526 607422 695474 903578 1012973 1043211 1316081 1355367 1757293 1792183 2025946 2086422 2328451 2632162 2710734 3038919 3514586 3584366 3948243 4656902 5271879 5376549 6077838 6985353 7896486 10543758 10753098 13970706 22844809 23298379 30269863 40417739 45689618 46596758 60539726 68534427 69895137 80835478 90809589 117738631 121253217 137068854 139790274 181619178 235477262 242506434 353215893 525430607 706431786 1050861214 1530602203 1576291821 2707988513 3061204406 3152583642 4591806609 5415977026 8123965539 9183613218 16247931078 35203850669 70407701338 105611552007 211223104014