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12000813 = 3113111731
BaseRepresentation
bin101101110001…
…111000101101
3211120201000120
4231301320231
511033011223
61105115153
7204001536
oct55617055
924521016
1012000813
116857430
124028ab9
132642496
14184568d
1510c0be3
hexb71e2d

12000813 has 16 divisors (see below), whose sum is σ = 18020352. Its totient is φ = 7038000.

The previous prime is 12000797. The next prime is 12000841. The reversal of 12000813 is 31800021.

It is a happy number.

It is not a de Polignac number, because 12000813 - 24 = 12000797 is a prime.

12000813 is a modest number, since divided by 813 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12000792 and 12000801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4843 + ... + 6888.

It is an arithmetic number, because the mean of its divisors is an integer number (1126272).

Almost surely, 212000813 is an apocalyptic number.

It is an amenable number.

12000813 is a deficient number, since it is larger than the sum of its proper divisors (6019539).

12000813 is a wasteful number, since it uses less digits than its factorization.

12000813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12000813 is about 3464.2189595925. The cubic root of 12000813 is about 228.9480186866.

Adding to 12000813 its reverse (31800021), we get a palindrome (43800834).

It can be divided in two parts, 120008 and 13, that added together give a palindrome (120021).

The spelling of 12000813 in words is "twelve million, eight hundred thirteen", and thus it is an aban number.

Divisors: 1 3 11 31 33 93 341 1023 11731 35193 129041 363661 387123 1090983 4000271 12000813