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212180321340 = 223451322113673
BaseRepresentation
bin1100010110011011101…
…1101100010000111100
3202021200012201010020000
43011212323230100330
511434021130240330
6241250240354300
721221011654641
oct3054673542074
9667605633200
10212180321340
1181a92294979
1235156915990
131701593ac00
14a3aba3bdc8
1557bc963560
hex3166eec43c

212180321340 has 360 divisors, whose sum is σ = 724370513328. Its totient is φ = 51967319040.

The previous prime is 212180321281. The next prime is 212180321351. The reversal of 212180321340 is 43123081212.

212180321340 is a `hidden beast` number, since 212 + 1 + 80 + 32 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57765744 + ... + 57769416.

Almost surely, 2212180321340 is an apocalyptic number.

212180321340 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 212180321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362185256664).

212180321340 is an abundant number, since it is smaller than the sum of its proper divisors (512190191988).

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

212180321340 is a wasteful number, since it uses less digits than its factorization.

212180321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 212180321340 in words is "two hundred twelve billion, one hundred eighty million, three hundred twenty-one thousand, three hundred forty".