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211202220000 = 2535417207061
BaseRepresentation
bin1100010010110010100…
…0100001111111100000
3202012011001020102102110
43010230220201333200
511430020232020000
6241005220315320
721154534151352
oct3045450417740
9665131212373
10211202220000
1181630168962
1234b23242b40
1316bbb0ca415
14a317b910d2
155761b5a850
hex312ca21fe0

211202220000 has 240 divisors, whose sum is σ = 733541154192. Its totient is φ = 53007360000.

The previous prime is 211202219999. The next prime is 211202220007. The reversal of 211202220000 is 22202112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 916470 + ... + 1123530.

Almost surely, 2211202220000 is an apocalyptic number.

211202220000 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 211202220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366770577096).

211202220000 is an abundant number, since it is smaller than the sum of its proper divisors (522338934192).

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

211202220000 is a wasteful number, since it uses less digits than its factorization.

211202220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207111 (or 207088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 211202220000 its reverse (22202112), we get a palindrome (211224422112).

The spelling of 211202220000 in words is "two hundred eleven billion, two hundred two million, two hundred twenty thousand".