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212021011224 = 2332111392517673
BaseRepresentation
bin1100010101110101101…
…1111110001100011000
3202021021002221022211100
43011131123332030120
511433204334324344
6241222350031400
721214035600651
oct3053533761430
9667232838740
10212021011224
1181a10373920
12351114a8560
1316cbb92c479
14a39480c528
1557ad995569
hex315d6fe318

212021011224 has 192 divisors, whose sum is σ = 633528604800. Its totient is φ = 63524160000.

The previous prime is 212021011177. The next prime is 212021011259. The reversal of 212021011224 is 422110120212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021011197 and 212021011206.

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, 27628252 + ... + 27635924.

It is an arithmetic number, because the mean of its divisors is an integer number (3299628150).

Almost surely, 2212021011224 is an apocalyptic number.

212021011224 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 212021011224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316764302400).

212021011224 is an abundant number, since it is smaller than the sum of its proper divisors (421507593576).

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

212021011224 is a wasteful number, since it uses less digits than its factorization.

212021011224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212021011224 its reverse (422110120212), we get a palindrome (634131131436).

The spelling of 212021011224 in words is "two hundred twelve billion, twenty-one million, eleven thousand, two hundred twenty-four".