Search a number
-
+
211223100130 = 257194110337607
BaseRepresentation
bin1100010010110111100…
…0001011101011100010
3202012012111112020120121
43010231320023223202
511430041103201010
6241011244030454
721155206504360
oct3045570135342
9665174466517
10211223100130
1181640a2a469
1234b2a23242a
1316bc252b323
14a31a868630
1557638d23da
hex312de0bae2

211223100130 has 128 divisors (see below), whose sum is σ = 473102622720. Its totient is φ = 66282831360.

The previous prime is 211223100113. The next prime is 211223100167. The reversal of 211223100130 is 31001322112.

211223100130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5597787 + ... + 5635393.

It is an arithmetic number, because the mean of its divisors is an integer number (3696114240).

Almost surely, 2211223100130 is an apocalyptic number.

211223100130 is an abundant number, since it is smaller than the sum of its proper divisors (261879522590).

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

211223100130 is a wasteful number, since it uses less digits than its factorization.

211223100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37784.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211223100130 its reverse (31001322112), we get a palindrome (242224422242).

The spelling of 211223100130 in words is "two hundred eleven billion, two hundred twenty-three million, one hundred thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 41 70 82 95 103 133 190 205 206 266 287 410 515 574 665 721 779 1030 1330 1435 1442 1558 1957 2870 3605 3895 3914 4223 5453 7210 7790 8446 9785 10906 13699 19570 21115 27265 27398 29561 37607 42230 54530 59122 68495 75214 80237 136990 147805 160474 188035 263249 295610 376070 401185 526498 561659 714533 802370 1123318 1316245 1429066 1541887 2632490 2808295 3083774 3572665 3873521 5001731 5616590 7145330 7709435 7747042 10003462 10793209 15418870 19367605 21586418 25008655 27114647 29295853 38735210 50017310 53966045 54229294 58591706 73596899 107932090 135573235 146479265 147193798 158814361 205070971 271146470 292958530 317628722 367984495 410141942 515178293 735968990 794071805 1025354855 1030356586 1111700527 1588143610 2050709710 2223401054 2575891465 3017472859 5151782930 5558502635 6034945718 11117005270 15087364295 21122310013 30174728590 42244620026 105611550065 211223100130