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212134214214 = 232137197139947
BaseRepresentation
bin1100010110010000101…
…1110011101001000110
3202021112222221122010200
43011210023303221012
511433422324323324
6241241512231330
721216612032556
oct3054413635106
9667488848120
10212134214214
1181a69262a0a
123514339b546
13170092166a0
14a3a5879166
1557b88a6ec9
hex31642f3a46

212134214214 has 192 divisors, whose sum is σ = 511313886720. Its totient is φ = 63164344320.

The previous prime is 212134214191. The next prime is 212134214251. The reversal of 212134214214 is 412412431212.

212134214214 is a `hidden beast` number, since 2 + 1 + 21 + 3 + 421 + 4 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224006089 + ... + 224007035.

It is an arithmetic number, because the mean of its divisors is an integer number (2663093160).

Almost surely, 2212134214214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212134214214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255656943360).

212134214214 is an abundant number, since it is smaller than the sum of its proper divisors (299179672506).

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

212134214214 is a wasteful number, since it uses less digits than its factorization.

212134214214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1272 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 212134214214 its reverse (412412431212), we get a palindrome (624546645426).

The spelling of 212134214214 in words is "two hundred twelve billion, one hundred thirty-four million, two hundred fourteen thousand, two hundred fourteen".