Search a number
-
+
212212121212212 = 2231121011447045531
BaseRepresentation
bin110000010000000101111100…
…000110100001010100110100
31000211101021120121012020002220
4300100011330012201110310
5210303340411012242322
62031200522545202340
762461551123021252
oct6020057406412464
91024337517166086
10212212121212212
116168772307a500
121b97416a0303b0
139154695292044
143a5919b4555d2
1519801ce64955c
hexc1017c1a1534

212212121212212 has 72 divisors (see below), whose sum is σ = 549657351239136. Its totient is φ = 63670003320000.

The previous prime is 212212121212171. The next prime is 212212121212367.

212212121212212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723376114 + ... + 723669417.

Almost surely, 2212212121212212 is an apocalyptic number.

212212121212212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212212121212212 is an abundant number, since it is smaller than the sum of its proper divisors (337445230026924).

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

212212121212212 is a wasteful number, since it uses less digits than its factorization.

212212121212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447045661 (or 1447045648 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The spelling of 212212121212212 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 3333 4444 6666 12221 13332 24442 36663 48884 73326 146652 1447045531 2894091062 4341136593 5788182124 8682273186 15917500841 17364546372 31835001682 47752502523 63670003364 95505005046 146151598631 175092509251 191010010092 292303197262 350185018502 438454795893 525277527753 584606394524 700370037004 876909591786 1050555055506 1607667584941 1753819183572 2101110111012 3215335169882 4823002754823 6430670339764 9646005509646 17684343434351 19292011019292 35368686868702 53053030303053 70737373737404 106106060606106 212212121212212