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213000000410 = 2597721801433
BaseRepresentation
bin1100011001011111001…
…0100001001110011010
3202100210100002010112002
43012113302201032122
511442211000003120
6241503441121002
721250224062561
oct3062762411632
9670710063462
10213000000410
1182372a4699a
1235345329162
13171166c1102
14a44884abd8
1558198c6375
hex3197ca139a

213000000410 has 16 divisors (see below), whose sum is σ = 383792444136. Its totient is φ = 85112790528.

The previous prime is 213000000377. The next prime is 213000000419. The reversal of 213000000410 is 14000000312.

It is a happy number.

213000000410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 212990557081 + 9443329 = 461509^2 + 3073^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213000000391 and 213000000400.

It is not an unprimeable number, because it can be changed into a prime (213000000419) 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 7 ways as a sum of consecutive naturals, for example, 10890947 + ... + 10910486.

Almost surely, 2213000000410 is an apocalyptic number.

213000000410 is a deficient number, since it is larger than the sum of its proper divisors (170792443726).

213000000410 is a wasteful number, since it uses less digits than its factorization.

213000000410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21802417.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 213000000410 its reverse (14000000312), we get a palindrome (227000000722).

The spelling of 213000000410 in words is "two hundred thirteen billion, four hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 977 1954 4885 9770 21801433 43602866 109007165 218014330 21300000041 42600000082 106500000205 213000000410