Search a number
-
+
212212002110121 = 32137114092549557
BaseRepresentation
bin110000010000000101110101…
…000000001011101010101001
31000211101021021022002012202100
4300100011311000023222221
5210303340140020010441
62031200503052324013
762461545145456656
oct6020056500135251
91024337238065670
10212212002110121
1161687671921322
121b974136173609
1391546766c0a30
143a591896d0c2d
1519801c3e6ecb6
hexc1017500baa9

212212002110121 has 24 divisors (see below), whose sum is σ = 330108152333960. Its totient is φ = 130591766509056.

The previous prime is 212212002110117. The next prime is 212212002110183. The reversal of 212212002110121 is 121011200212212.

212212002110121 is a `hidden beast` number, since 21 + 221 + 200 + 211 + 0 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48307204521 + 212163694905600 = 219789^2 + 14565840^2 .

It is not a de Polignac number, because 212212002110121 - 22 = 212212002110117 is a prime.

It is a super-2 number, since 2×2122120021101212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212212002110094 and 212212002110103.

It is not an unprimeable number, because it can be changed into a prime (212212002110621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81960075 + ... + 84509631.

Almost surely, 2212212002110121 is an apocalyptic number.

It is an amenable number.

212212002110121 is a deficient number, since it is larger than the sum of its proper divisors (117896150223839).

212212002110121 is a wasteful number, since it uses less digits than its factorization.

212212002110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260985 (or 3260982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212212002110121 its reverse (121011200212212), we get a palindrome (333223202322333).

The spelling of 212212002110121 in words is "two hundred twelve trillion, two hundred twelve billion, two million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 711409 2134227 2549557 6402681 7648671 9248317 22946013 27744951 33144241 83234853 99432723 298298169 1813777795813 5441333387439 16324000162317 23579111345569 70737334036707 212212002110121