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212111212020 = 223537531979151
BaseRepresentation
bin1100010110001011010…
…0000011110111110100
3202021111101200000001120
43011202310003313310
511433400432241040
6241235331223540
721216212361021
oct3054264036764
9667441600046
10212111212020
1181a57282034
1235137747bb0
1317004521916
14a3a27ac548
1557b68617d0
hex3162d03df4

212111212020 has 192 divisors, whose sum is σ = 624694726656. Its totient is φ = 53715916800.

The previous prime is 212111212013. The next prime is 212111212037. The reversal of 212111212020 is 20212111212.

212111212020 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 (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23174445 + ... + 23183595.

It is an arithmetic number, because the mean of its divisors is an integer number (3253618368).

Almost surely, 2212111212020 is an apocalyptic number.

212111212020 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 212111212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312347363328).

212111212020 is an abundant number, since it is smaller than the sum of its proper divisors (412583514636).

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

212111212020 is a wasteful number, since it uses less digits than its factorization.

212111212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212111212020 its reverse (20212111212), we get a palindrome (232323323232).

The spelling of 212111212020 in words is "two hundred twelve billion, one hundred eleven million, two hundred twelve thousand, twenty".