Search a number
-
+
20210212000212 = 223131150311262509
BaseRepresentation
bin1001001100001100011101…
…00000011101000111010100
32122120002002102102112220020
410212012032200131013110
510122111003233001322
6110552235422505140
74154065615365153
oct446061640350724
978502072375806
1020210212000212
116492114882133
122324a5b1351b0
13b37a791b9790
144dc2726c959a
15250aa9ae305c
hex12618e81d1d4

20210212000212 has 48 divisors (see below), whose sum is σ = 50789054695680. Its totient is φ = 6217985616768.

The previous prime is 20210212000207. The next prime is 20210212000217. The reversal of 20210212000212 is 21200021201202.

It is an interprime number because it is at equal distance from previous prime (20210212000207) and next prime (20210212000217).

It is a junction number, because it is equal to n+sod(n) for n = 20210212000191 and 20210212000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210212000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3836787 + ... + 7425722.

It is an arithmetic number, because the mean of its divisors is an integer number (1058105306160).

Almost surely, 220210212000212 is an apocalyptic number.

It is an amenable number.

20210212000212 is an abundant number, since it is smaller than the sum of its proper divisors (30578842695468).

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

20210212000212 is a wasteful number, since it uses less digits than its factorization.

20210212000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274032 (or 11274030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20210212000212 its reverse (21200021201202), we get a palindrome (41410233201414).

The spelling of 20210212000212 in words is "twenty trillion, two hundred ten billion, two hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 11503 23006 34509 46012 69018 138036 149539 299078 448617 598156 897234 1794468 11262509 22525018 33787527 45050036 67575054 135150108 146412617 292825234 439237851 585650468 878475702 1756951404 129552641027 259105282054 388657923081 518210564108 777315846162 1554631692324 1684184333351 3368368666702 5052553000053 6736737333404 10105106000106 20210212000212