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13322022014241 = 324136103040689
BaseRepresentation
bin1100000111011100011001…
…1000111100110100100001
31202011120110121201210100200
43001313012120330310201
53221232000113423431
644200015153535413
72543325060511143
oct301670630746441
952146417653320
1013322022014241
114276924139266
1215b1a92274569
13758352076185
14340b09bd8c93
1518180a371ee6
hexc1dc663cd21

13322022014241 has 12 divisors (see below), whose sum is σ = 19712260216740. Its totient is φ = 8664729765120.

The previous prime is 13322022014153. The next prime is 13322022014291. The reversal of 13322022014241 is 14241022022331.

13322022014241 is a `hidden beast` number, since 1 + 3 + 32 + 2 + 0 + 2 + 201 + 424 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8121474032400 + 5200547981841 = 2849820^2 + 2280471^2 .

It is not a de Polignac number, because 13322022014241 - 217 = 13322021883169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13322022014291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18051519976 + ... + 18051520713.

It is an arithmetic number, because the mean of its divisors is an integer number (1642688351395).

Almost surely, 213322022014241 is an apocalyptic number.

It is an amenable number.

13322022014241 is a deficient number, since it is larger than the sum of its proper divisors (6390238202499).

13322022014241 is a wasteful number, since it uses less digits than its factorization.

13322022014241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36103040736 (or 36103040733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13322022014241 its reverse (14241022022331), we get a palindrome (27563044036572).

The spelling of 13322022014241 in words is "thirteen trillion, three hundred twenty-two billion, twenty-two million, fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 41 123 369 36103040689 108309122067 324927366201 1480224668249 4440674004747 13322022014241