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212831463000 = 233531347671733
BaseRepresentation
bin1100011000110110111…
…1100110011001011000
3202100100120221112122210
43012031233212121120
511441334323304000
6241435020515120
721243106405062
oct3061557463130
9670316845583
10212831463000
11822968a3282
12352b89abaa0
13170ba801730
14a4302d8732
155809bd4350
hex318dbe6658

212831463000 has 512 divisors, whose sum is σ = 741657047040. Its totient is φ = 50480179200.

The previous prime is 212831462959. The next prime is 212831463007. The reversal of 212831463000 is 364138212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212831463007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122810134 + ... + 122811866.

It is an arithmetic number, because the mean of its divisors is an integer number (1448548920).

Almost surely, 2212831463000 is an apocalyptic number.

212831463000 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 212831463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370828523520).

212831463000 is an abundant number, since it is smaller than the sum of its proper divisors (528825584040).

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

212831463000 is a wasteful number, since it uses less digits than its factorization.

212831463000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 212831463000 in words is "two hundred twelve billion, eight hundred thirty-one million, four hundred sixty-three thousand".