Search a number
-
+
212142340410 = 235711137064347
BaseRepresentation
bin1100010110010010101…
…0110011100100111010
3202021120120020111011220
43011210222303210322
511433431414343120
6241242402332510
721220041066240
oct3054452634472
9667516214156
10212142340410
1181a72903280
123514605a136
131700ab003a0
14a3a6992790
1557b945eb40
hex3164ab393a

212142340410 has 128 divisors (see below), whose sum is σ = 683602827264. Its totient is φ = 40690632960.

The previous prime is 212142340387. The next prime is 212142340429. The reversal of 212142340410 is 14043241212.

212142340410 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 3502144 + ... + 3562203.

It is an arithmetic number, because the mean of its divisors is an integer number (5340647088).

Almost surely, 2212142340410 is an apocalyptic number.

212142340410 is an abundant number, since it is smaller than the sum of its proper divisors (471460486854).

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

212142340410 is a wasteful number, since it uses less digits than its factorization.

212142340410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064388.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212142340410 its reverse (14043241212), we get a palindrome (226185581622).

The spelling of 212142340410 in words is "two hundred twelve billion, one hundred forty-two million, three hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 7064347 14128694 21193041 35321735 42386082 49450429 70643470 77707817 91836511 98900858 105965205 148351287 155415634 183673022 211930410 233123451 247252145 275509533 296702574 388539085 459182555 466246902 494504290 543954719 551019066 642855577 741756435 777078170 918365110 1010201621 1087909438 1165617255 1285711154 1377547665 1483512870 1631864157 1928566731 2020403242 2331234510 2719773595 2755095330 3030604863 3214277885 3263728314 3857133462 5051008105 5439547190 6061209726 6428555770 7071411347 8159320785 9642833655 10102016210 14142822694 15153024315 16318641570 19285667310 21214234041 30306048630 35357056735 42428468082 70714113470 106071170205 212142340410