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213132132131184 = 24327253515644889
BaseRepresentation
bin110000011101011110110001…
…000001101010000101110000
31000221122020021202001022121100
4300131132301001222011300
5210413424101311144214
62033143314432124400
762615200630553400
oct6035366101520560
91027566252038540
10213132132131184
1161a01914276962
121baa2527996700
1391c03737799b6
143a8b916366800
1519990c884c309
hexc1d7b106a170

213132132131184 has 180 divisors, whose sum is σ = 693987247352880. Its totient is φ = 60883504012800.

The previous prime is 213132132131183. The next prime is 213132132131227. The reversal of 213132132131184 is 481131231231312.

213132132131184 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 321 + 3 + 213 + 118 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132132131183) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34934212 + ... + 40579100.

It is an arithmetic number, because the mean of its divisors is an integer number (3855484707516).

Almost surely, 2213132132131184 is an apocalyptic number.

213132132131184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213132132131184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346993623676440).

213132132131184 is an abundant number, since it is smaller than the sum of its proper divisors (480855115221696).

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

213132132131184 is a wasteful number, since it uses less digits than its factorization.

213132132131184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650268 (or 5650252 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Adding to 213132132131184 its reverse (481131231231312), we get a palindrome (694263363362496).

The spelling of 213132132131184 in words is "two hundred thirteen trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred eighty-four".