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13013012322 = 232722945129
BaseRepresentation
bin11000001111010001…
…01100111101100010
31020120220021112000100
430013220230331202
5203122312343242
65551134003230
7640321531302
oct140750547542
936526245010
1013013012322
115578562842
122632046516
1312c4ca96bb
148b6395602
1551267254c
hex307a2cf62

13013012322 has 12 divisors (see below), whose sum is σ = 28194860070. Its totient is φ = 4337670768.

The previous prime is 13013012293. The next prime is 13013012333. The reversal of 13013012322 is 22321031031.

13013012322 is a `hidden beast` number, since 1 + 301 + 30 + 12 + 322 = 666.

13013012322 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 only one way, i.e., 11946271401 + 1066740921 = 109299^2 + 32661^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 722945129 = 13013012322 / (1 + 3 + 0 + 1 + 3 + 0 + 1 + 2 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 13013012295 and 13013012304.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 361472547 + ... + 361472582.

Almost surely, 213013012322 is an apocalyptic number.

13013012322 is an abundant number, since it is smaller than the sum of its proper divisors (15181847748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13013012322 is a wasteful number, since it uses less digits than its factorization.

13013012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722945137 (or 722945134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013012322 its reverse (22321031031), we get a palindrome (35334043353).

The spelling of 13013012322 in words is "thirteen billion, thirteen million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 722945129 1445890258 2168835387 4337670774 6506506161 13013012322