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211120002000 = 24325337359883
BaseRepresentation
bin1100010010011110111…
…0111001001111010000
3202011221022112022112100
43010213232321033100
511424333210031000
6240553122200400
721152515256625
oct3044756711720
9664838468470
10211120002000
11815988122a6
1234abb7b3100
1316ba707160b
14a30acac34c
155759819a00
hex3127bb93d0

211120002000 has 480 divisors, whose sum is σ = 760270268160. Its totient is φ = 54562636800.

The previous prime is 211120001993. The next prime is 211120002011. The reversal of 211120002000 is 200021112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239093559 + ... + 239094441.

It is an arithmetic number, because the mean of its divisors is an integer number (1583896392).

Almost surely, 2211120002000 is an apocalyptic number.

211120002000 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 211120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380135134080).

211120002000 is an abundant number, since it is smaller than the sum of its proper divisors (549150266160).

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

211120002000 is a wasteful number, since it uses less digits than its factorization.

211120002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211120002000 its reverse (200021112), we get a palindrome (211320023112).

The spelling of 211120002000 in words is "two hundred eleven billion, one hundred twenty million, two thousand".