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11311123231331 = 721120985386329
BaseRepresentation
bin1010010010011001001101…
…1110110111001001100011
31111001022222121220101220022
42210212103132313021203
52440310140021400311
640020131442104055
72245126115051600
oct244462336671143
944038877811808
1011311123231331
113671025202580
12132820834b02b
13640832865c41
142b1665aa56a7
1514936564a5db
hexa49937b7263

11311123231331 has 12 divisors (see below), whose sum is σ = 14354004249720. Its totient is φ = 8813862257760.

The previous prime is 11311123231321. The next prime is 11311123231337. The reversal of 11311123231331 is 13313232111311.

It is a de Polignac number, because none of the positive numbers 2k-11311123231331 is a prime.

It is a super-2 number, since 2×113111232313312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11311123231331.

It is not an unprimeable number, because it can be changed into a prime (11311123231337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10492692626 + ... + 10492693703.

It is an arithmetic number, because the mean of its divisors is an integer number (1196167020810).

Almost surely, 211311123231331 is an apocalyptic number.

11311123231331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11311123231331 is a deficient number, since it is larger than the sum of its proper divisors (3042881018389).

11311123231331 is a wasteful number, since it uses less digits than its factorization.

11311123231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985386354 (or 20985386347 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

Adding to 11311123231331 its reverse (13313232111311), we get a palindrome (24624355342642).

The spelling of 11311123231331 in words is "eleven trillion, three hundred eleven billion, one hundred twenty-three million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 11 49 77 539 20985386329 146897704303 230839249619 1028283930121 1615874747333 11311123231331