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11341322314311 = 3112817571615651
BaseRepresentation
bin1010010100001001101101…
…1111001110001001000111
31111011012221020210202210010
42211002123133032021013
52441304012003024221
640042044225201303
72250245353035363
oct245023337161107
944135836722703
1011341322314311
1136829118625a0
121332035a90233
13643636253b02
142b2ccc7342a3
1514a03199bc76
hexa509b7ce247

11341322314311 has 32 divisors (see below), whose sum is σ = 16577054827776. Its totient is φ = 6840015840000.

The previous prime is 11341322314207. The next prime is 11341322314321.

It is a happy number.

11341322314311 is nontrivially palindromic in base 10.

11341322314311 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 11341322314311 - 211 = 11341322312263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341322314321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6211836 + ... + 7827486.

It is an arithmetic number, because the mean of its divisors is an integer number (518032963368).

Almost surely, 211341322314311 is an apocalyptic number.

11341322314311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11341322314311 is a deficient number, since it is larger than the sum of its proper divisors (5235732513465).

11341322314311 is a wasteful number, since it uses less digits than its factorization.

11341322314311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616703.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1134132 and 2314311, that added together give a palindrome (3448443).

The spelling of 11341322314311 in words is "eleven trillion, three hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 11 33 281 757 843 2271 3091 8327 9273 24981 212717 638151 1615651 2339887 4846953 7019661 17772161 53316483 453997931 1223047807 1361993793 3669143421 4993977241 13453525877 14981931723 40360577631 343676433767 1031029301301 3780440771437 11341322314311