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210211111020000 = 253546673525029
BaseRepresentation
bin101111110010111110010110…
…100110011010010111100000
31000120021222121202111021221110
4233302332112212122113200
5210023044323410120000
62023025352400223320
762164152203022336
oct5762762646322740
91016258552437843
10210211111020000
1160a86038a84322
121b6b03a390ab40
13903aa906625cc
1439ca3b4763b56
151948117b25850
hexbf2f9699a5e0

210211111020000 has 240 divisors, whose sum is σ = 689639131898640. Its totient is φ = 56047789056000.

The previous prime is 210211111019983. The next prime is 210211111020017. The reversal of 210211111020000 is 20111112012.

It is an interprime number because it is at equal distance from previous prime (210211111019983) and next prime (210211111020017).

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

It is a super-2 number, since 2×2102111110200002 (a number of 29 digits) contains 22 as substring.

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

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, 400117486 + ... + 400642514.

It is an arithmetic number, because the mean of its divisors is an integer number (2873496382911).

Almost surely, 2210211111020000 is an apocalyptic number.

210211111020000 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 210211111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344819565949320).

210211111020000 is an abundant number, since it is smaller than the sum of its proper divisors (479428020878640).

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

210211111020000 is an equidigital number, since it uses as much as digits as its factorization.

210211111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531735 (or 531712 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210211111020000 its reverse (20111112012), we get a palindrome (210231222132012).

The spelling of 210211111020000 in words is "two hundred ten trillion, two hundred eleven billion, one hundred eleven million, twenty thousand".