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13221210029 = 175325757097
BaseRepresentation
bin11000101000000101…
…11010011110101101
31021010102001001120112
430110002322132231
5204034112210104
610023532225405
7645430300556
oct142402723655
937112031515
1013221210029
115675034865
12268b90b265
131329174101
148d5cad32d
15525a9a86e
hex3140ba7ad

13221210029 has 16 divisors (see below), whose sum is σ = 14318808048. Its totient is φ = 12160991232.

The previous prime is 13221210019. The next prime is 13221210049. The reversal of 13221210029 is 92001212231.

It is a happy number.

13221210029 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 8 ways, for example, as 966277225 + 12254932804 = 31085^2 + 110702^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221210029 - 28 = 13221209773 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221209986 and 13221210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221210019) 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 15 ways as a sum of consecutive naturals, for example, 203009 + ... + 260105.

It is an arithmetic number, because the mean of its divisors is an integer number (894925503).

Almost surely, 213221210029 is an apocalyptic number.

It is an amenable number.

13221210029 is a deficient number, since it is larger than the sum of its proper divisors (1097598019).

13221210029 is a wasteful number, since it uses less digits than its factorization.

13221210029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57424.

The product of its (nonzero) digits is 432, while the sum is 23.

It can be divided in two parts, 132212 and 10029, that added together give a palindrome (142241).

The spelling of 13221210029 in words is "thirteen billion, two hundred twenty-one million, two hundred ten thousand, twenty-nine".

Divisors: 1 17 53 257 901 4369 13621 57097 231557 970649 3026141 14673929 51444397 249456793 777718237 13221210029