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212000337900 = 22325213102117747
BaseRepresentation
bin1100010101110000110…
…1000110111111101100
3202021012200001000100200
43011130031012333230
511433134041303100
6241220330553500
721213365065611
oct3053415067754
9667180030320
10212000337900
11819aa73372a
1235106598890
1316cb7571730
14a391b8a508
1557abc5ee00
hex315c346fec

212000337900 has 216 divisors, whose sum is σ = 716360181264. Its totient is φ = 52130649600.

The previous prime is 212000337863. The next prime is 212000337907. The reversal of 212000337900 is 9733000212.

It is not an unprimeable number, because it can be changed into a prime (212000337907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11936827 + ... + 11954573.

Almost surely, 2212000337900 is an apocalyptic number.

212000337900 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 212000337900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358180090632).

212000337900 is an abundant number, since it is smaller than the sum of its proper divisors (504359843364).

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

212000337900 is a wasteful number, since it uses less digits than its factorization.

212000337900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18801 (or 18791 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 212000337900 in words is "two hundred twelve billion, three hundred thirty-seven thousand, nine hundred".