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13224504141 = 328501172849
BaseRepresentation
bin11000101000011110…
…11110101101001101
31021010122020102020200
430110033132231031
5204040433113031
610024131004113
7645500300442
oct142417365515
937118212220
1013224504141
115676984772
122690a39639
131329a585a4
148d64c99c9
15525eeb8e6
hex3143deb4d

13224504141 has 12 divisors (see below), whose sum is σ = 19104419100. Its totient is φ = 8815248000.

The previous prime is 13224504133. The next prime is 13224504197. The reversal of 13224504141 is 14140542231.

13224504141 is a `hidden beast` number, since 1 + 3 + 2 + 245 + 0 + 414 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1467656100 + 11756848041 = 38310^2 + 108429^2 .

It is not a de Polignac number, because 13224504141 - 23 = 13224504133 is a prime.

It is a super-2 number, since 2×132245041412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224504641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9916 + ... + 162933.

It is an arithmetic number, because the mean of its divisors is an integer number (1592034925).

Almost surely, 213224504141 is an apocalyptic number.

It is an amenable number.

13224504141 is a deficient number, since it is larger than the sum of its proper divisors (5879914959).

13224504141 is a wasteful number, since it uses less digits than its factorization.

13224504141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181356 (or 181353 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 13224504141 in words is "thirteen billion, two hundred twenty-four million, five hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 8501 25503 76509 172849 518547 1555641 1469389349 4408168047 13224504141