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12003210013 = 31212490333
BaseRepresentation
bin10110010110111001…
…00111001100011101
31010222112011020122211
423023130213030131
5144040310210023
65303022240421
7603310413244
oct131334471435
933875136584
1012003210013
1150aa554383
1223aba26111
131193a19942
1481c21595b
154a3ba6a0d
hex2cb72731d

12003210013 has 6 divisors (see below), whose sum is σ = 12402901662. Its totient is φ = 11616008760.

The previous prime is 12003209989. The next prime is 12003210047. The reversal of 12003210013 is 31001230021.

It can be written as a sum of positive squares in only one way, i.e., 11920709124 + 82500889 = 109182^2 + 9083^2 .

It is a de Polignac number, because none of the positive numbers 2k-12003210013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12003209975 and 12003210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003210053) 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 5 ways as a sum of consecutive naturals, for example, 6244206 + ... + 6246127.

It is an arithmetic number, because the mean of its divisors is an integer number (2067150277).

Almost surely, 212003210013 is an apocalyptic number.

It is an amenable number.

12003210013 is a deficient number, since it is larger than the sum of its proper divisors (399691649).

12003210013 is an equidigital number, since it uses as much as digits as its factorization.

12003210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490395 (or 12490364 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12003210013 its reverse (31001230021), we get a palindrome (43004440034).

The spelling of 12003210013 in words is "twelve billion, three million, two hundred ten thousand, thirteen".

Divisors: 1 31 961 12490333 387200323 12003210013