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20003013 = 322279791
BaseRepresentation
bin100110001001…
…1100011000101
31101122020222100
41030103203011
520110044023
61552422313
7332010552
oct114234305
941566870
1020003013
1110322618
126847999
1341b4904
142929a29
151b51c43
hex13138c5

20003013 has 12 divisors (see below), whose sum is σ = 29023488. Its totient is φ = 13275240.

The previous prime is 20003003. The next prime is 20003023. The reversal of 20003013 is 31030002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20003003) and next prime (20003023).

It is not a de Polignac number, because 20003013 - 25 = 20002981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20002986 and 20003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2853 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (2418624).

Almost surely, 220003013 is an apocalyptic number.

It is an amenable number.

20003013 is a deficient number, since it is larger than the sum of its proper divisors (9020475).

20003013 is a wasteful number, since it uses less digits than its factorization.

20003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20003013 is about 4472.4728059542. The cubic root of 20003013 is about 271.4553918755.

Adding to 20003013 its reverse (31030002), we get a palindrome (51033015).

The spelling of 20003013 in words is "twenty million, three thousand, thirteen".

Divisors: 1 3 9 227 681 2043 9791 29373 88119 2222557 6667671 20003013