Search a number
-
+
212113241004210 = 235713233378137299
BaseRepresentation
bin110000001110101001110110…
…011000011101100010110010
31000211000211100110122012200220
4300032221312120131202302
5210300230404144113320
62031043251103153510
762451450564100410
oct6016516630354262
91024024313565626
10212113241004210
11616497a1847737
121b958b732a5896
139148267772b20
143a5449b0062b0
15197c8438a4e40
hexc0ea7661d8b2

212113241004210 has 128 divisors (see below), whose sum is σ = 653791180492800. Its totient is φ = 42807755840256.

The previous prime is 212113241004157. The next prime is 212113241004211. The reversal of 212113241004210 is 12400142311212.

It is not an unprimeable number, because it can be changed into a prime (212113241004211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1689005860 + ... + 1689131439.

It is an arithmetic number, because the mean of its divisors is an integer number (5107743597600).

Almost surely, 2212113241004210 is an apocalyptic number.

212113241004210 is an abundant number, since it is smaller than the sum of its proper divisors (441677939488590).

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

212113241004210 is a wasteful number, since it uses less digits than its factorization.

212113241004210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378137352.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 212113241004210 its reverse (12400142311212), we get a palindrome (224513383315422).

The spelling of 212113241004210 in words is "two hundred twelve trillion, one hundred thirteen billion, two hundred forty-one million, four thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 69 70 78 91 105 115 130 138 161 182 195 210 230 273 299 322 345 390 455 483 546 598 690 805 897 910 966 1365 1495 1610 1794 2093 2415 2730 2990 4186 4485 4830 6279 8970 10465 12558 20930 31395 62790 3378137299 6756274598 10134411897 16890686495 20268823794 23646961093 33781372990 43915784887 47293922186 50672059485 70940883279 77697157877 87831569774 101344118970 118234805465 131747354661 141881766558 155394315754 219578924435 233091473631 236469610930 263494709322 307410494209 354704416395 388485789385 439157848870 466182947262 543880105139 614820988418 658736773305 709408832790 776971578770 922231482627 1010063052401 1087760210278 1165457368155 1317473546610 1537052471045 1631640315417 1844462965254 2020126104802 2330914736310 2719400525695 3030189157203 3074104942090 3263280630834 4611157413135 5050315262005 5438801051390 6060378314406 7070441366807 8158201577085 9222314826270 10100630524010 14140882733614 15150945786015 16316403154170 21211324100421 30301891572030 35352206834035 42422648200842 70704413668070 106056620502105 212113241004210