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212201313003 = 3341291903441
BaseRepresentation
bin1100010110100000101…
…1110001001011101011
3202021201200012121101000
43011220023301023223
511434042014004003
6241252310330043
721221355254061
oct3055013611353
9667650177330
10212201313003
1181aa3122259
1235161959923
131701a0aa804
14a3b0744031
1557be70d1a3
hex31682f12eb

212201313003 has 16 divisors (see below), whose sum is σ = 314448618400. Its totient is φ = 141433205760.

The previous prime is 212201313001. The next prime is 212201313061. The reversal of 212201313003 is 300313102212.

212201313003 is a `hidden beast` number, since 212 + 20 + 131 + 300 + 3 = 666.

212201313003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212201313003 - 21 = 212201313001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212201313001) 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, 840238 + ... + 1063203.

It is an arithmetic number, because the mean of its divisors is an integer number (19653038650).

Almost surely, 2212201313003 is an apocalyptic number.

212201313003 is a deficient number, since it is larger than the sum of its proper divisors (102247305397).

212201313003 is a wasteful number, since it uses less digits than its factorization.

212201313003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907579 (or 1907573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212201313003 its reverse (300313102212), we get a palindrome (512514415215).

The spelling of 212201313003 in words is "two hundred twelve billion, two hundred one million, three hundred thirteen thousand, three".

Divisors: 1 3 9 27 4129 12387 37161 111483 1903441 5710323 17130969 51392907 7859307889 23577923667 70733771001 212201313003