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212333331000 = 233537291512309
BaseRepresentation
bin1100010111000000001…
…1011000001000111000
3202022001212121211000110
43011300003120020320
511434324313043000
6241313344104320
721224550351150
oct3056003301070
9668055554013
10212333331000
11820606a233a
123519a0050a0
131703b55197b
14a3c40ab760
1557cb0d9850
hex31700d8238

212333331000 has 512 divisors, whose sum is σ = 788755968000. Its totient is φ = 46529280000.

The previous prime is 212333330983. The next prime is 212333331013. The reversal of 212333331000 is 133333212.

212333331000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123333310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91957846 + ... + 91960154.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539000).

Almost surely, 2212333331000 is an apocalyptic number.

212333331000 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 212333331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394377984000).

212333331000 is an abundant number, since it is smaller than the sum of its proper divisors (576422637000).

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

212333331000 is a wasteful number, since it uses less digits than its factorization.

212333331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 212333331000 its reverse (133333212), we get a palindrome (212466664212).

The spelling of 212333331000 in words is "two hundred twelve billion, three hundred thirty-three million, three hundred thirty-one thousand".