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211110020000 = 2554116115731
BaseRepresentation
bin1100010010011100100…
…0110100001110100000
3202011220121202011210122
43010213020310032200
511424323131120000
6240552124215412
721152334363605
oct3044710641640
9664817664718
10211110020000
1181593114710
1234ab839a568
1316ba4c87cc9
14a3098306ac
1557589e7085
hex31272343a0

211110020000 has 240 divisors, whose sum is σ = 575901827424. Its totient is φ = 75504000000.

The previous prime is 211110019979. The next prime is 211110020063. The reversal of 211110020000 is 20011112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 211110020000.

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, 13412135 + ... + 13427865.

Almost surely, 2211110020000 is an apocalyptic number.

211110020000 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 211110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287950913712).

211110020000 is an abundant number, since it is smaller than the sum of its proper divisors (364791807424).

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

211110020000 is a wasteful number, since it uses less digits than its factorization.

211110020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211110020000 its reverse (20011112), we get a palindrome (211130031112).

The spelling of 211110020000 in words is "two hundred eleven billion, one hundred ten million, twenty thousand".