Search a number
-
+
212010220110012 = 223172636915718641
BaseRepresentation
bin110000001101001001111001…
…110110111100000010111100
31000210122222102202122112122220
4300031021321312330002330
5210242033412322010022
62030524052304005340
762441142615664242
oct6015117166740274
91023588382575586
10212010220110012
116160a036180065
121b941001900850
13913b62a14472c
143a4d4c6aa0792
151979d1434a85c
hexc0d279dbc0bc

212010220110012 has 96 divisors (see below), whose sum is σ = 526542543926784. Its totient is φ = 66164207308800.

The previous prime is 212010220110001. The next prime is 212010220110113. The reversal of 212010220110012 is 210011022010212.

212010220110012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212010220109973 and 212010220110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34214212 + ... + 39932852.

It is an arithmetic number, because the mean of its divisors is an integer number (5484818165904).

Almost surely, 2212010220110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010220110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263271271963392).

212010220110012 is an abundant number, since it is smaller than the sum of its proper divisors (314532323816772).

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

212010220110012 is a wasteful number, since it uses less digits than its factorization.

212010220110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719619 (or 5719617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212010220110012 its reverse (210011022010212), we get a palindrome (422021242120224).

The spelling of 212010220110012 in words is "two hundred twelve trillion, ten billion, two hundred twenty million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 691 789 1052 1382 1578 2073 2764 3156 4146 4471 8292 8942 11747 13413 17884 23494 26826 35241 46988 53652 70482 140964 181733 363466 545199 726932 1090398 2180796 3089461 5718641 6178922 9268383 11437282 12357844 17155923 18536766 22874564 34311846 37073532 68623692 97216897 194433794 291650691 388867588 583301382 1166602764 1504002583 3008005166 3951580931 4512007749 6016010332 7903161862 9024015498 11854742793 15806323724 18048030996 23709485586 25568043911 47418971172 51136087822 67176875827 76704131733 102272175644 134353751654 153408263466 201530627481 268707503308 306816526932 403061254962 806122509924 1039265784853 2078531569706 3117797354559 4157063139412 6235594709118 12471189418236 17667518342501 35335036685002 53002555027503 70670073370004 106005110055006 212010220110012