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13142224452213 = 3279110316758061
BaseRepresentation
bin1011111100111110100110…
…0111101011101001110101
31201112101101012220021210200
42333033221213223221311
53210310233424432323
643541242104111113
72524331400451203
oct277175147535165
951471335807720
1013142224452213
11420764a0a479a
121583074465499
137443ca36080c
14336130c58073
1517bcd5805443
hexbf3e99eba75

13142224452213 has 24 divisors (see below), whose sum is σ = 19240936465920. Its totient is φ = 8642734832160.

The previous prime is 13142224452199. The next prime is 13142224452221. The reversal of 13142224452213 is 31225442224131.

13142224452213 is a `hidden beast` number, since 1 + 3 + 1 + 422 + 2 + 4 + 4 + 5 + 221 + 3 = 666.

It is not a de Polignac number, because 13142224452213 - 28 = 13142224451957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142224452913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7594798 + ... + 9163263.

It is an arithmetic number, because the mean of its divisors is an integer number (801705686080).

Almost surely, 213142224452213 is an apocalyptic number.

It is an amenable number.

13142224452213 is a deficient number, since it is larger than the sum of its proper divisors (6098712013707).

13142224452213 is a wasteful number, since it uses less digits than its factorization.

13142224452213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759249 (or 16759246 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 13142224452213 its reverse (31225442224131), we get a palindrome (44367666676344).

The spelling of 13142224452213 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred fifty-two thousand, two hundred thirteen".

Divisors: 1 3 9 79 237 711 1103 3309 9927 87137 261411 784233 16758061 50274183 150822549 1323886819 3971660457 11914981371 18484141283 55452423849 166357271547 1460247161357 4380741484071 13142224452213