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13630312213 = 72278169637
BaseRepresentation
bin11001011000110111…
…00000111100010101
31022011220211121021021
430230123200330111
5210403324442323
610132304521141
7661525512400
oct145433407425
938156747237
1013630312213
115864a57341
1227849201b1
131392b516cb
14934362d37
1554b95b05d
hex32c6e0f15

13630312213 has 6 divisors (see below), whose sum is σ = 15855669366. Its totient is φ = 11683124712.

The previous prime is 13630312193. The next prime is 13630312217. The reversal of 13630312213 is 31221303631.

13630312213 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., 13565959729 + 64352484 = 116473^2 + 8022^2 .

It is not a de Polignac number, because 13630312213 - 225 = 13596757781 is a prime.

It is a super-2 number, since 2×136303122132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630312217) 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 5 ways as a sum of consecutive naturals, for example, 139084770 + ... + 139084867.

It is an arithmetic number, because the mean of its divisors is an integer number (2642611561).

Almost surely, 213630312213 is an apocalyptic number.

It is an amenable number.

13630312213 is a deficient number, since it is larger than the sum of its proper divisors (2225357153).

13630312213 is an equidigital number, since it uses as much as digits as its factorization.

13630312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278169651 (or 278169644 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13630312213 its reverse (31221303631), we get a palindrome (44851615844).

The spelling of 13630312213 in words is "thirteen billion, six hundred thirty million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 49 278169637 1947187459 13630312213