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20120013 = 322235557
BaseRepresentation
bin100110011000…
…0000111001101
31101212012110200
41030300013031
520122320023
61555124113
7333005634
oct114600715
941765420
1020120013
11103a2511
1268a3639
134225c44
14295a51b
151b76743
hex13301cd

20120013 has 6 divisors (see below), whose sum is σ = 29062254. Its totient is φ = 13413336.

The previous prime is 20119991. The next prime is 20120029. The reversal of 20120013 is 31002102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18636489 + 1483524 = 4317^2 + 1218^2 .

It is not a de Polignac number, because 20120013 - 212 = 20115917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2235557 = 20120013 / (2 + 0 + 1 + 2 + 0 + 0 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20119977 and 20120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120063) 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 5 ways as a sum of consecutive naturals, for example, 1117770 + ... + 1117787.

It is an arithmetic number, because the mean of its divisors is an integer number (4843709).

Almost surely, 220120013 is an apocalyptic number.

It is an amenable number.

20120013 is a deficient number, since it is larger than the sum of its proper divisors (8942241).

20120013 is a wasteful number, since it uses less digits than its factorization.

20120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235563 (or 2235560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20120013 is about 4485.5337475043. The cubic root of 20120013 is about 271.9836215989.

Adding to 20120013 its reverse (31002102), we get a palindrome (51122115).

The spelling of 20120013 in words is "twenty million, one hundred twenty thousand, thirteen".

Divisors: 1 3 9 2235557 6706671 20120013