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212102213123130 = 235117324121365017
BaseRepresentation
bin110000001110011111100101…
…000100011011110000111010
31000210222202212220201210210220
4300032133211010123300322
5210300040313024420010
62031034224521320510
762450610365462541
oct6016374504336072
91023882786653726
10212102213123130
11616450528a6430
121b9569b6036136
1391471cab35ac5
143a53b32559158
15197c3ea659970
hexc0e7e511bc3a

212102213123130 has 128 divisors (see below), whose sum is σ = 562954190835456. Its totient is φ = 50712110899200.

The previous prime is 212102213123077. The next prime is 212102213123153. The reversal of 212102213123130 is 31321312201212.

212102213123130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212102213123130.

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, 580892382 + ... + 581257398.

It is an arithmetic number, because the mean of its divisors is an integer number (4398079615902).

Almost surely, 2212102213123130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102213123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281477095417728).

212102213123130 is an abundant number, since it is smaller than the sum of its proper divisors (350851977712326).

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

212102213123130 is a wasteful number, since it uses less digits than its factorization.

212102213123130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389232.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212102213123130 its reverse (31321312201212), we get a palindrome (243423525324342).

The spelling of 212102213123130 in words is "two hundred twelve trillion, one hundred two billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 8030 12045 24090 24121 48242 72363 120605 144726 241210 265331 361815 365017 530662 723630 730034 795993 1095051 1326655 1591986 1760833 1825085 2190102 2653310 3521666 3650170 3979965 4015187 5282499 5475255 7959930 8030374 8804165 10564998 10950510 12045561 17608330 19369163 20075935 24091122 26412495 26646241 38738326 40151870 52824990 53292482 58107489 60227805 79938723 96845815 116214978 120455610 133231205 159877446 193691630 266462410 290537445 293108651 399693615 581074890 586217302 799387230 879325953 1465543255 1758651906 2931086510 4396629765 8793259530 8804575057 17609150114 26413725171 44022875285 52827450342 88045750570 96850325627 132068625855 193700651254 264137251710 290550976881 484251628135 581101953762 642733979161 968503256270 1285467958322 1452754884405 1928201937483 2905509768810 3213669895805 3856403874966 6427339791610 7070073770771 9641009687415 14140147541542 19282019374830 21210221312313 35350368853855 42420442624626 70700737707710 106051106561565 212102213123130