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12232003013 = 17915778577
BaseRepresentation
bin10110110010001010…
…11000110111000101
31011120110200010122122
423121011120313011
5200022343044023
65341434135325
7612056211236
oct133105306705
934513603578
1012232003013
1152077129aa
122454581545
1311cc245709
1484077108d
154b8cec2c8
hex2d9158dc5

12232003013 has 8 divisors (see below), whose sum is σ = 12953111832. Its totient is φ = 11511069696.

The previous prime is 12232002953. The next prime is 12232003051. The reversal of 12232003013 is 31030023221.

12232003013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3347432449 + 8884570564 = 57857^2 + 94258^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12232003013 - 26 = 12232002949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12232002982 and 12232003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232003813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116381 + ... + 194957.

It is an arithmetic number, because the mean of its divisors is an integer number (1619138979).

Almost surely, 212232003013 is an apocalyptic number.

It is an amenable number.

12232003013 is a deficient number, since it is larger than the sum of its proper divisors (721108819).

12232003013 is an equidigital number, since it uses as much as digits as its factorization.

12232003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87751.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12232003013 its reverse (31030023221), we get a palindrome (43262026234).

The spelling of 12232003013 in words is "twelve billion, two hundred thirty-two million, three thousand, thirteen".

Divisors: 1 17 9157 78577 155669 1335809 719529589 12232003013