Search a number
-
+
13223214012 = 22353106319559
BaseRepresentation
bin11000101000010101…
…00011101110111100
31021010112210212112010
430110022203232330
5204040120322022
610024043211220
7645453315231
oct142412435674
937115725463
1013223214012
115676183448
122690516b10
1313296c62b8
148d6271788
15525d4450c
hex3142a3bbc

13223214012 has 48 divisors (see below), whose sum is σ = 31467502080. Its totient is φ = 4320283968.

The previous prime is 13223213923. The next prime is 13223214077. The reversal of 13223214012 is 21041232231.

13223214012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132232140122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13223214012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 666289 + ... + 685847.

It is an arithmetic number, because the mean of its divisors is an integer number (655572960).

Almost surely, 213223214012 is an apocalyptic number.

13223214012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223214012 is an abundant number, since it is smaller than the sum of its proper divisors (18244288068).

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

13223214012 is a wasteful number, since it uses less digits than its factorization.

13223214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20682 (or 20680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13223214012 its reverse (21041232231), we get a palindrome (34264446243).

The spelling of 13223214012 in words is "thirteen billion, two hundred twenty-three million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 1063 2126 3189 4252 6378 12756 19559 39118 56339 58677 78236 112678 117354 169017 225356 234708 338034 676068 1036627 2073254 3109881 4146508 6219762 12439524 20791217 41582434 62373651 83164868 124747302 249494604 1101934501 2203869002 3305803503 4407738004 6611607006 13223214012