Search a number
-
+
11213313220312 = 2371076912708221
BaseRepresentation
bin1010001100101100110110…
…0011010001111011011000
31110200222112002010000202121
42203023031203101323120
52432204331141022222
635503154110111024
72235064232505610
oct243131543217330
943628462100677
1011213313220312
1136335a2a89625
12131126baab474
13634545991288
142aaa27837a40
15146a3d8015c7
hexa32cd8d1ed8

11213313220312 has 64 divisors (see below), whose sum is σ = 24288201527040. Its totient is φ = 4753901059200.

The previous prime is 11213313220237. The next prime is 11213313220321. The reversal of 11213313220312 is 21302231331211.

11213313220312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2786362 + ... + 5494582.

It is an arithmetic number, because the mean of its divisors is an integer number (379503148860).

Almost surely, 211213313220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213313220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144100763520).

11213313220312 is an abundant number, since it is smaller than the sum of its proper divisors (13074888306728).

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

11213313220312 is a wasteful number, since it uses less digits than its factorization.

11213313220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709032 (or 2709028 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11213313220312 its reverse (21302231331211), we get a palindrome (32515544551523).

The spelling of 11213313220312 in words is "eleven trillion, two hundred thirteen billion, three hundred thirteen million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 691 749 856 1382 1498 2764 2996 4837 5528 5992 9674 19348 38696 73937 147874 295748 517559 591496 1035118 2070236 2708221 4140472 5416442 10832884 18957547 21665768 37915094 75830188 151660376 289779647 579559294 1159118588 1871380711 2028457529 2318237176 3742761422 4056915058 7485522844 8113830116 13099664977 14971045688 16227660232 26199329954 52398659908 104797319816 200237736077 400475472154 800950944308 1401664152539 1601901888616 2803328305078 5606656610156 11213313220312