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212831388000 = 25345371119449
BaseRepresentation
bin1100011000110110111…
…1010100000101100000
3202100100120210201210000
43012031233110011200
511441334313404000
6241435015140000
721243105643320
oct3061557240540
9670316721700
10212831388000
11822968519a0
12352b8974600
13170ba7a655a
14a4302b9280
155809bbc000
hex318dbd4160

212831388000 has 1920 divisors, whose sum is σ = 1027458432000. Its totient is φ = 41803776000.

The previous prime is 212831387971. The next prime is 212831388013. The reversal of 212831388000 is 883138212.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 474011776 + ... + 474012224.

It is an arithmetic number, because the mean of its divisors is an integer number (535134600).

Almost surely, 2212831388000 is an apocalyptic number.

212831388000 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 212831388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513729216000).

212831388000 is an abundant number, since it is smaller than the sum of its proper divisors (814627044000).

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

212831388000 is a wasteful number, since it uses less digits than its factorization.

212831388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 212831388000 in words is "two hundred twelve billion, eight hundred thirty-one million, three hundred eighty-eight thousand".