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213400312104 = 23371270239953
BaseRepresentation
bin1100011010111110100…
…1100101100100101000
3202101211020100001221010
43012233221211210220
511444020434441404
6242011301143520
721263154503220
oct3065751454450
9671736301833
10213400312104
1182558a05001
12354373baba0
131717b611535
14a485a93080
15583eaec189
hex31afa65928

213400312104 has 32 divisors (see below), whose sum is σ = 609715177920. Its totient is φ = 60971517696.

The previous prime is 213400312093. The next prime is 213400312109. The reversal of 213400312104 is 401213004312.

213400312104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213400312109) 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, 635119809 + ... + 635120144.

It is an arithmetic number, because the mean of its divisors is an integer number (19053599310).

Almost surely, 2213400312104 is an apocalyptic number.

213400312104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213400312104 is an abundant number, since it is smaller than the sum of its proper divisors (396314865816).

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

213400312104 is a wasteful number, since it uses less digits than its factorization.

213400312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270239969 (or 1270239965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213400312104 its reverse (401213004312), we get a palindrome (614613316416).

The spelling of 213400312104 in words is "two hundred thirteen billion, four hundred million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1270239953 2540479906 3810719859 5080959812 7621439718 8891679671 10161919624 15242879436 17783359342 26675039013 30485758872 35566718684 53350078026 71133437368 106700156052 213400312104