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212002120212 = 22353571583777
BaseRepresentation
bin1100010101110001001…
…1111010001000010100
3202021012210101120020020
43011130103322020110
511433140020321322
6241220433105140
721213416201061
oct3053423721024
9667183346206
10212002120212
1181a00740813
12351070b81b0
1316cb7a46a5c
14a3920d1c68
1557abeb305c
hex315c4fa214

212002120212 has 48 divisors (see below), whose sum is σ = 504888576192. Its totient is φ = 69212482560.

The previous prime is 212002120163. The next prime is 212002120219. The reversal of 212002120212 is 212021200212.

212002120212 is a modest number, since divided by 2120212 gives 2120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 212002120191 and 212002120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002120219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71268 + ... + 655044.

It is an arithmetic number, because the mean of its divisors is an integer number (10518512004).

Almost surely, 2212002120212 is an apocalyptic number.

It is an amenable number.

212002120212 is an abundant number, since it is smaller than the sum of its proper divisors (292886455980).

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

212002120212 is a wasteful number, since it uses less digits than its factorization.

212002120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584408 (or 584406 counting only the distinct ones).

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

Adding to 212002120212 its reverse (212021200212), we get a palindrome (424023320424).

It can be divided in two parts, 21200 and 2120212, that added together give a palindrome (2141412).

The spelling of 212002120212 in words is "two hundred twelve billion, two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 571 636 1142 1713 2284 3426 6852 30263 60526 90789 121052 181578 363156 583777 1167554 1751331 2335108 3502662 7005324 30940181 61880362 92820543 123760724 185641086 333336667 371282172 666673334 1000010001 1333346668 2000020002 4000040004 17666843351 35333686702 53000530053 70667373404 106001060106 212002120212