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4023212013 = 32653684569
BaseRepresentation
bin1110111111001101…
…0101011111101101
3101101101101100100100
43233303111133231
531214420241023
61503115221313
7201461511042
oct35763253755
911341340310
104023212013
111784aa8807
12943447839
134c168ab32
142a24771c9
1518830cc43
hexefcd57ed

4023212013 has 12 divisors (see below), whose sum is σ = 5820214140. Its totient is φ = 2678030016.

The previous prime is 4023211999. The next prime is 4023212041. The reversal of 4023212013 is 3102123204.

It can be written as a sum of positive squares in 2 ways, for example, as 1434742884 + 2588469129 = 37878^2 + 50877^2 .

It is not a de Polignac number, because 4023212013 - 226 = 3956103149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023212093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336408 + ... + 348161.

It is an arithmetic number, because the mean of its divisors is an integer number (485017845).

Almost surely, 24023212013 is an apocalyptic number.

It is an amenable number.

4023212013 is a deficient number, since it is larger than the sum of its proper divisors (1797002127).

4023212013 is a wasteful number, since it uses less digits than its factorization.

4023212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685228 (or 685225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4023212013 is about 63428.7948253788. The cubic root of 4023212013 is about 1590.4656960320.

Adding to 4023212013 its reverse (3102123204), we get a palindrome (7125335217).

The spelling of 4023212013 in words is "four billion, twenty-three million, two hundred twelve thousand, thirteen".

Divisors: 1 3 9 653 1959 5877 684569 2053707 6161121 447023557 1341070671 4023212013