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212316184080 = 2432571113973037
BaseRepresentation
bin1100010110111100000…
…1111101111000010000
3202022000200100122212100
43011233001331320100
511434310420342310
6241311532400400
721224251534140
oct3055701757020
9668020318770
10212316184080
1182051a50630
1235194316100
1317037b2a070
14a3c1ac6920
1557c984dec0
hex316f07de10

212316184080 has 960 divisors, whose sum is σ = 967541073408. Its totient is φ = 40290877440.

The previous prime is 212316184043. The next prime is 212316184081. The reversal of 212316184080 is 80481613212.

212316184080 is a `hidden beast` number, since 2 + 1 + 2 + 31 + 618 + 4 + 0 + 8 + 0 = 666.

212316184080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (212316184081) 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 191 ways as a sum of consecutive naturals, for example, 69908322 + ... + 69911358.

Almost surely, 2212316184080 is an apocalyptic number.

212316184080 is a gapful number since it is divisible by the number (20) 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 212316184080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483770536704).

212316184080 is an abundant number, since it is smaller than the sum of its proper divisors (755224889328).

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

212316184080 is a wasteful number, since it uses less digits than its factorization.

212316184080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 212316184080 its reverse (80481613212), we get a palindrome (292797797292).

The spelling of 212316184080 in words is "two hundred twelve billion, three hundred sixteen million, one hundred eighty-four thousand, eighty".