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4013232013 = 77331125253
BaseRepresentation
bin1110111100110101…
…0000111110001101
3101100200121022100201
43233031100332031
531204341411023
61502121253501
7201310623610
oct35715207615
911320538321
104013232013
11177a40167a
12940034291
134bc5a53cb
142a0dda177
151874dabad
hexef350f8d

4013232013 has 16 divisors (see below), whose sum is σ = 4664514816. Its totient is φ = 3381747840.

The previous prime is 4013231983. The next prime is 4013232017. The reversal of 4013232013 is 3102323104.

It is a cyclic number.

It is not a de Polignac number, because 4013232013 - 29 = 4013231501 is a prime.

It is a super-2 number, since 2×40132320132 = 32212062380336064338, 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 (4013232017) 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, 146295 + ... + 171547.

It is an arithmetic number, because the mean of its divisors is an integer number (291532176).

Almost surely, 24013232013 is an apocalyptic number.

It is an amenable number.

4013232013 is a deficient number, since it is larger than the sum of its proper divisors (651282803).

4013232013 is a wasteful number, since it uses less digits than its factorization.

4013232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25644.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4013232013 is about 63350.0750828284. The cubic root of 4013232013 is about 1589.1495013707.

Adding to 4013232013 its reverse (3102323104), we get a palindrome (7115555117).

The spelling of 4013232013 in words is "four billion, thirteen million, two hundred thirty-two thousand, thirteen".

Divisors: 1 7 73 311 511 2177 22703 25253 158921 176771 1843469 7853683 12904283 54975781 573318859 4013232013