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212341110000 = 2435425727541
BaseRepresentation
bin1100010111000010000…
…1000011010011110000
3202022002102021000210120
43011300201003103300
511434333311010000
6241314222530240
721225003440355
oct3056041032360
9668072230716
10212341110000
1182065025868
12351a0736980
1317040046626
14a3c513462c
1557cbb246a0
hex31708434f0

212341110000 has 200 divisors, whose sum is σ = 688157581584. Its totient is φ = 56401920000.

The previous prime is 212341109987. The next prime is 212341110011. The reversal of 212341110000 is 11143212.

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, 7696230 + ... + 7723770.

Almost surely, 2212341110000 is an apocalyptic number.

212341110000 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 212341110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344078790792).

212341110000 is an abundant number, since it is smaller than the sum of its proper divisors (475816471584).

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

212341110000 is a wasteful number, since it uses less digits than its factorization.

212341110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27829 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212341110000 its reverse (11143212), we get a palindrome (212352253212).

The spelling of 212341110000 in words is "two hundred twelve billion, three hundred forty-one million, one hundred ten thousand".