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212002000110 = 23359712496481
BaseRepresentation
bin1100010101110001001…
…1011100110011101110
3202021012210011110111000
43011130103130303232
511433140003000420
6241220430341130
721213415160655
oct3053423346356
9667183143430
10212002000110
1181a0066955a
123510705a7a6
1316cb7a041a4
14a3920a019c
1557abe8c690
hex315c4dccee

212002000110 has 128 divisors (see below), whose sum is σ = 571712400000. Its totient is φ = 55897620480.

The previous prime is 212002000081. The next prime is 212002000183. The reversal of 212002000110 is 11000200212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212002000092 and 212002000101.

It is a congruent number.

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, 32708070 + ... + 32714550.

It is an arithmetic number, because the mean of its divisors is an integer number (4466503125).

Almost surely, 2212002000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285856200000).

212002000110 is an abundant number, since it is smaller than the sum of its proper divisors (359710399890).

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

212002000110 is a wasteful number, since it uses less digits than its factorization.

212002000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212002000110 its reverse (11000200212), we get a palindrome (223002200322).

The spelling of 212002000110 in words is "two hundred twelve billion, two million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1249 1455 1746 2498 2619 2910 3747 4365 5238 6245 6481 7494 8730 11241 12490 12962 13095 18735 19443 22482 26190 32405 33723 37470 38886 56205 58329 64810 67446 97215 112410 116658 121153 168615 174987 194430 242306 291645 337230 349974 363459 583290 605765 628657 726918 874935 1090377 1211530 1257314 1749870 1817295 1885971 2180754 3143285 3271131 3634590 3771942 5451885 5657913 6286570 6542262 8094769 9429855 10903770 11315826 16189538 16355655 16973739 18859710 24284307 28289565 32711310 33947478 40473845 48568614 56579130 72852921 80947690 84868695 121421535 145705842 169737390 218558763 242843070 364264605 437117526 728529210 785192593 1092793815 1570385186 2185587630 2355577779 3925962965 4711155558 7066733337 7851925930 11777888895 14133466674 21200200011 23555777790 35333666685 42400400022 70667333370 106001000055 212002000110