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4204312013 = 1111312726633
BaseRepresentation
bin1111101010011000…
…1011010111001101
3101212000011011211202
43322212023113031
532102300441023
61533104555245
7206121030266
oct37246132715
911760134752
104204312013
111868251930
12994022b25
135200585b5
142bc53996d
15199182128
hexfa98b5cd

4204312013 has 16 divisors (see below), whose sum is σ = 4663719936. Its totient is φ = 3758307840.

The previous prime is 4204311959. The next prime is 4204312037. The reversal of 4204312013 is 3102134024.

It is a cyclic number.

It is not a de Polignac number, because 4204312013 - 224 = 4187534797 is a prime.

It is a super-2 number, since 2×42043120132 = 35352479005312224338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204312513) 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, 144545 + ... + 171177.

It is an arithmetic number, because the mean of its divisors is an integer number (291482496).

Almost surely, 24204312013 is an apocalyptic number.

It is an amenable number.

4204312013 is a deficient number, since it is larger than the sum of its proper divisors (459407923).

4204312013 is a wasteful number, since it uses less digits than its factorization.

4204312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26884.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4204312013 is about 64840.6663522207. Note that the first 3 decimals coincide. The cubic root of 4204312013 is about 1613.9806099740.

Adding to 4204312013 its reverse (3102134024), we get a palindrome (7306446037).

The spelling of 4204312013 in words is "four billion, two hundred four million, three hundred twelve thousand, thirteen".

Divisors: 1 11 113 127 1243 1397 14351 26633 157861 292963 3009529 3382391 33104819 37206301 382210183 4204312013