Search a number
-
+
212101121010 = 235172337488701
BaseRepresentation
bin1100010110001000110…
…1100100001111110010
3202021110200200022210110
43011202031210033302
511433340341333020
6241234331042150
721216030532122
oct3054215441762
9667420608713
10212101121010
1181a5160a559
12351342a0356
13170023ca7cc
14a3a1302c82
1557b5a1b8e0
hex31623643f2

212101121010 has 128 divisors (see below), whose sum is σ = 577622306304. Its totient is φ = 49542451200.

The previous prime is 212101120939. The next prime is 212101121041. The reversal of 212101121010 is 10121101212.

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, 189660 + ... + 678360.

It is an arithmetic number, because the mean of its divisors is an integer number (4512674268).

Almost surely, 2212101121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288811153152).

212101121010 is an abundant number, since it is smaller than the sum of its proper divisors (365521185294).

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

212101121010 is a wasteful number, since it uses less digits than its factorization.

212101121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488788.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212101121010 its reverse (10121101212), we get a palindrome (222222222222).

The spelling of 212101121010 in words is "two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 37 46 51 69 74 85 102 111 115 138 170 185 222 230 255 345 370 391 510 555 629 690 782 851 1110 1173 1258 1702 1887 1955 2346 2553 3145 3774 3910 4255 5106 5865 6290 8510 9435 11730 12765 14467 18870 25530 28934 43401 72335 86802 144670 217005 434010 488701 977402 1466103 2443505 2932206 4887010 7330515 8307917 11240123 14661030 16615834 18081937 22480246 24923751 33720369 36163874 41539585 49847502 54245811 56200615 67440738 83079170 90409685 108491622 112401230 124618755 168601845 180819370 191082091 249237510 271229055 307392929 337203690 382164182 415884551 542458110 573246273 614785858 831769102 922178787 955410455 1146492546 1247653653 1536964645 1844357574 1910820910 2079422755 2495307306 2866231365 3073929290 4158845510 4610893935 5732462730 6238268265 7070037367 9221787870 12476536530 14140074734 21210112101 35350186835 42420224202 70700373670 106050560505 212101121010