Search a number
-
+
212003103105 = 32518012615869
BaseRepresentation
bin1100010101110001011…
…1101010000110000001
3202021012212020111111200
43011130113222012001
511433140243244410
6241220510131413
721213430433463
oct3053427520601
9667185214450
10212003103105
1181a01252222
12351074b0b69
1316cb7ccc251
14a3922aa133
1557ac1093c0
hex315c5ea181

212003103105 has 24 divisors (see below), whose sum is σ = 367676223720. Its totient is φ = 113005497600.

The previous prime is 212003103101. The next prime is 212003103119. The reversal of 212003103105 is 501301300212.

212003103105 is a `hidden beast` number, since 21 + 20 + 0 + 310 + 310 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14344613361 + 197658489744 = 119769^2 + 444588^2 .

It is not a de Polignac number, because 212003103105 - 22 = 212003103101 is a prime.

It is a super-2 number, since 2×2120031031052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212003103101) 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 23 ways as a sum of consecutive naturals, for example, 1226890 + ... + 1388979.

It is an arithmetic number, because the mean of its divisors is an integer number (15319842655).

Almost surely, 2212003103105 is an apocalyptic number.

It is an amenable number.

212003103105 is a deficient number, since it is larger than the sum of its proper divisors (155673120615).

212003103105 is a wasteful number, since it uses less digits than its factorization.

212003103105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617681 (or 2617678 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 212003103105 its reverse (501301300212), we get a palindrome (713304403317).

The spelling of 212003103105 in words is "two hundred twelve billion, three million, one hundred three thousand, one hundred five".

Divisors: 1 3 5 9 15 45 1801 5403 9005 16209 27015 81045 2615869 7847607 13079345 23542821 39238035 117714105 4711180069 14133540207 23555900345 42400620621 70667701035 212003103105