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210002011211000 = 235317163122361967
BaseRepresentation
bin101111101111111011100111…
…010001111100010011111000
31000112112222220020022102020002
4233233323213101330103320
5210011133104332223000
62022345331521452132
762143100414666051
oct5757734721742370
91015488806272202
10210002011211000
1160a05397650a18
121b6779687a1048
139024148cb8588
1439c0219cc9728
15194297a85b8d5
hexbefee747c4f8

210002011211000 has 256 divisors, whose sum is σ = 523939459829760. Its totient is φ = 78509038233600.

The previous prime is 210002011210967. The next prime is 210002011211009. The reversal of 210002011211000 is 112110200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002011211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388902017 + ... + 3388963983.

It is an arithmetic number, because the mean of its divisors is an integer number (2046638514960).

Almost surely, 2210002011211000 is an apocalyptic number.

210002011211000 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 210002011211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261969729914880).

210002011211000 is an abundant number, since it is smaller than the sum of its proper divisors (313937448618760).

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

210002011211000 is a wasteful number, since it uses less digits than its factorization.

210002011211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63391 (or 63377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210002011211000 its reverse (112110200012), we get a palindrome (210114121411012).

The spelling of 210002011211000 in words is "two hundred ten trillion, two billion, eleven million, two hundred eleven thousand".