Search a number
-
+
13213010031 = 3132347313409
BaseRepresentation
bin11000100111000111…
…01000100001101111
31021002211121110021220
430103203220201233
5204030012310111
610023040354423
7645300506064
oct142343504157
937084543256
1013213010031
115670444001
122689015a13
131327562940
148d4b76c6b
15524ecae06
hex3138e886f

13213010031 has 32 divisors (see below), whose sum is σ = 20218705920. Its totient is φ = 7612053504.

The previous prime is 13213009987. The next prime is 13213010059. The reversal of 13213010031 is 13001031231.

13213010031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13213010031 - 213 = 13213001839 is a prime.

It is a super-2 number, since 2×132130100312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213010231) 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 31 ways as a sum of consecutive naturals, for example, 114546 + ... + 198863.

It is an arithmetic number, because the mean of its divisors is an integer number (631834560).

Almost surely, 213213010031 is an apocalyptic number.

13213010031 is a deficient number, since it is larger than the sum of its proper divisors (7005695889).

13213010031 is a wasteful number, since it uses less digits than its factorization.

13213010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313495.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13213010031 its reverse (13001031231), we get a palindrome (26214041262).

The spelling of 13213010031 in words is "thirteen billion, two hundred thirteen million, ten thousand, thirty-one".

Divisors: 1 3 13 23 39 47 69 141 299 611 897 1081 1833 3243 14053 42159 313409 940227 4074317 7208407 12222951 14730223 21625221 44190669 93709291 191492899 281127873 338795129 574478697 1016385387 4404336677 13213010031