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13212112311 = 333894013137
BaseRepresentation
bin11000100111000000…
…01101010110110111
31021002202220211212000
430103200031112313
5204024300043221
610023005230343
7645260046606
oct142340152667
937082824760
1013212112311
11566a990592
1226888623b3
13132730a148
148d49c1a3d
15524d9ee26
hex31380d5b7

13212112311 has 32 divisors (see below), whose sum is σ = 19679025600. Its totient is φ = 8760729600.

The previous prime is 13212112283. The next prime is 13212112337. The reversal of 13212112311 is 11321121231.

13212112311 is a `hidden beast` number, since 1 + 321 + 21 + 12 + 311 = 666.

13212112311 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 13212112311 - 210 = 13212111287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212112811) 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, 4210135 + ... + 4213271.

It is an arithmetic number, because the mean of its divisors is an integer number (614969550).

Almost surely, 213212112311 is an apocalyptic number.

13212112311 is a deficient number, since it is larger than the sum of its proper divisors (6466913289).

13212112311 is a wasteful number, since it uses less digits than its factorization.

13212112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3930 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13212112311 its reverse (11321121231), we get a palindrome (24533233542).

The spelling of 13212112311 in words is "thirteen billion, two hundred twelve million, one hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 27 389 401 1167 1203 3137 3501 3609 9411 10503 10827 28233 84699 155989 467967 1220293 1257937 1403901 3660879 3773811 4211703 10982637 11321433 32947911 33964299 489337493 1468012479 4404037437 13212112311