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212211330000 = 2435416343397
BaseRepresentation
bin1100010110100011000…
…1111110101111010000
3202021202101001112002220
43011220301332233100
511434102100030000
6241253305141040
721221536354125
oct3055061765720
9667671045086
10212211330000
1181aa884416a
123516518a780
131701c1a7027
14a3b1bd074c
1557c053b1a0
hex3168c7ebd0

212211330000 has 200 divisors, whose sum is σ = 689265089568. Its totient is φ = 56241216000.

The previous prime is 212211329989. The next prime is 212211330013. The reversal of 212211330000 is 33112212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4868302 + ... + 4911698.

Almost surely, 2212211330000 is an apocalyptic number.

212211330000 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 212211330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344632544784).

212211330000 is an abundant number, since it is smaller than the sum of its proper divisors (477053759568).

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

212211330000 is a wasteful number, since it uses less digits than its factorization.

212211330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43591 (or 43570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212211330000 its reverse (33112212), we get a palindrome (212244442212).

The spelling of 212211330000 in words is "two hundred twelve billion, two hundred eleven million, three hundred thirty thousand".