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13223031029 = 133727490709
BaseRepresentation
bin11000101000010011…
…10111000011110101
31021010112110120111222
430110021313003311
5204040043443104
610024035240125
7645451623605
oct142411670365
937115416458
1013223031029
115676068a1a
122690449045
131329660c20
148d6224c05
15525d0a1be
hex3142770f5

13223031029 has 8 divisors (see below), whose sum is σ = 14625057720. Its totient is φ = 11875985856.

The previous prime is 13223031013. The next prime is 13223031043. The reversal of 13223031029 is 92013032231.

13223031029 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 1616200804 + 11606830225 = 40202^2 + 107735^2 .

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 13223031029 - 24 = 13223031013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13223030989 and 13223031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223031049) 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, 13744874 + ... + 13745835.

It is an arithmetic number, because the mean of its divisors is an integer number (1828132215).

Almost surely, 213223031029 is an apocalyptic number.

It is an amenable number.

13223031029 is a deficient number, since it is larger than the sum of its proper divisors (1402026691).

13223031029 is a wasteful number, since it uses less digits than its factorization.

13223031029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27490759.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13223031029 in words is "thirteen billion, two hundred twenty-three million, thirty-one thousand, twenty-nine".

Divisors: 1 13 37 481 27490709 357379217 1017156233 13223031029