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212132344232304 = 2432127503214110771
BaseRepresentation
bin110000001110111011101001…
…000001011111100101110000
31000211002122122210201202011100
4300032323221001133211300
5210301034020110413204
62031100130435444400
762453025146622066
oct6016735101374560
91024078583652140
10212132344232304
1161656905049751
121b960804a56700
139149cc04144a2
143a55390172036
15197d0b0a30a39
hexc0eee905f970

212132344232304 has 240 divisors, whose sum is σ = 599875829489664. Its totient is φ = 69975333388800.

The previous prime is 212132344232257. The next prime is 212132344232339. The reversal of 212132344232304 is 403232443231212.

212132344232304 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 2 + 344 + 2 + 3 + 2 + 304 = 666.

212132344232304 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19694762439 + ... + 19694773209.

Almost surely, 2212132344232304 is an apocalyptic number.

212132344232304 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 212132344232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299937914744832).

212132344232304 is an abundant number, since it is smaller than the sum of its proper divisors (387743485257360).

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

212132344232304 is a wasteful number, since it uses less digits than its factorization.

212132344232304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 212132344232304 its reverse (403232443231212), we get a palindrome (615364787463516).

The spelling of 212132344232304 in words is "two hundred twelve trillion, one hundred thirty-two billion, three hundred forty-four million, two hundred thirty-two thousand, three hundred four".