Search a number
-
+
13111322322330 = 2325145681359137
BaseRepresentation
bin1011111011001011011110…
…1101011010010110011010
31201102102121121002102212200
42332302313231122112122
53204303442003303310
643515131444151030
72522155534623111
oct276626755322632
951372547072780
1013111322322330
1141a5531704181
12157908b398476
1374151410776b
1433483ca9ac78
1517b0c78cd9c0
hexbecb7b5a59a

13111322322330 has 24 divisors (see below), whose sum is σ = 34089438038292. Its totient is φ = 3496352619264.

The previous prime is 13111322322311. The next prime is 13111322322353. The reversal of 13111322322330 is 3322322311131.

13111322322330 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 3 + 2 + 2 + 322 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12775570449849 + 335751872481 = 3574293^2 + 579441^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13111322322294 and 13111322322303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72840679479 + ... + 72840679658.

Almost surely, 213111322322330 is an apocalyptic number.

13111322322330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13111322322330 is an abundant number, since it is smaller than the sum of its proper divisors (20978115715962).

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

13111322322330 is a wasteful number, since it uses less digits than its factorization.

13111322322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145681359150 (or 145681359147 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13111322322330 its reverse (3322322311131), we get a palindrome (16433644633461).

The spelling of 13111322322330 in words is "thirteen trillion, one hundred eleven billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 145681359137 291362718274 437044077411 728406795685 874088154822 1311132232233 1456813591370 2185220387055 2622264464466 4370440774110 6555661161165 13111322322330