Search a number
-
+
212002012002220 = 2251127910911016419
BaseRepresentation
bin110000001101000010010000…
…100111011111011110101100
31000210122012020201122110112121
4300031002100213133132230
5210241420110033032340
62030520214011442324
762440432330140646
oct6015022047373654
91023565221573477
10212002012002220
1161606603992200
121b93b4b0a563a4
13913a91c768b0b
143a4cd48903896
1519799d394394a
hexc0d0909df7ac

212002012002220 has 144 divisors (see below), whose sum is σ = 496005804403200. Its totient is φ = 76045955356800.

The previous prime is 212002012002211. The next prime is 212002012002229. The reversal of 212002012002220 is 22200210200212.

It is an interprime number because it is at equal distance from previous prime (212002012002211) and next prime (212002012002229).

It is a junction number, because it is equal to n+sod(n) for n = 212002012002194 and 212002012002203.

It is not an unprimeable number, because it can be changed into a prime (212002012002229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208069171 + ... + 209085589.

It is an arithmetic number, because the mean of its divisors is an integer number (3444484752800).

Almost surely, 2212002012002220 is an apocalyptic number.

212002012002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002012002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248002902201600).

212002012002220 is an abundant number, since it is smaller than the sum of its proper divisors (284003792400980).

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

212002012002220 is a wasteful number, since it uses less digits than its factorization.

212002012002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017620 (or 1017607 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212002012002220 its reverse (22200210200212), we get a palindrome (234202222202432).

The spelling of 212002012002220 in words is "two hundred twelve trillion, two billion, twelve million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 605 790 869 1091 1210 1580 1738 2182 2420 3476 4345 4364 5455 8690 9559 10910 12001 17380 19118 21820 24002 38236 47795 48004 60005 86189 95590 120010 132011 172378 191180 240020 264022 344756 430945 528044 660055 861890 948079 1016419 1320110 1723780 1896158 2032838 2640220 3792316 4065676 4740395 5082095 9480790 10164190 10428869 11180609 18961580 20328380 20857738 22361218 41715476 44722436 52144345 55903045 80297101 104288690 111806090 122986699 160594202 208577380 223612180 245973398 321188404 401485505 491946796 614933495 802971010 883268111 1108913129 1229866990 1605942020 1766536222 2217826258 2459733980 3533072444 4416340555 4435652516 5544565645 8832681110 9715949221 11089131290 12198044419 17665362220 19431898442 22178262580 24396088838 38863796884 48579746105 48792177676 60990222095 87604137191 97159492210 121980444190 134178488609 175208274382 194318984420 243960888380 268356977218 350416548764 438020685955 536713954436 670892443045 876041371910 963645509101 1341784886090 1752082743820 1927291018202 2683569772180 3854582036404 4818227545505 9636455091010 10600100600111 19272910182020 21200201200222 42400402400444 53000503000555 106001006001110 212002012002220