Search a number
-
+
13211212331 = 412711189021
BaseRepresentation
bin11000100110111001…
…10001101000101011
31021002201020010022102
430103130301220223
5204024032243311
610022534044015
7645246311012
oct142334615053
937081203272
1013211212331
11566a4263a9
1226884a960b
131327083605
148d4829a79
15524c7343b
hex313731a2b

13211212331 has 8 divisors (see below), whose sum is σ = 13583387328. Its totient is φ = 12841416000.

The previous prime is 13211212283. The next prime is 13211212367. The reversal of 13211212331 is 13321211231.

It is a happy number.

13211212331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13211212331 is a prime.

It is a super-4 number, since 4×132112123314 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13211215331) 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, 583400 + ... + 605621.

It is an arithmetic number, because the mean of its divisors is an integer number (1697923416).

Almost surely, 213211212331 is an apocalyptic number.

13211212331 is a deficient number, since it is larger than the sum of its proper divisors (372174997).

13211212331 is a wasteful number, since it uses less digits than its factorization.

13211212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189333.

The product of its digits is 216, while the sum is 20.

Adding to 13211212331 its reverse (13321211231), we get a palindrome (26532423562).

The spelling of 13211212331 in words is "thirteen billion, two hundred eleven million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 41 271 11111 1189021 48749861 322224691 13211212331