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211000120 = 23510395077
BaseRepresentation
bin11001001001110…
…01101100111000
3112201000220202021
430210321230320
5413004000440
632534244224
75141320462
oct1444715470
9481026667
10211000120
11a9116571
125a7b6674
1334939156
1420047132
15137cd84a
hexc939b38

211000120 has 32 divisors (see below), whose sum is σ = 475300800. Its totient is φ = 84302208.

The previous prime is 211000109. The next prime is 211000121. The reversal of 211000120 is 21000112.

211000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39022 + ... + 44098.

It is an arithmetic number, because the mean of its divisors is an integer number (14853150).

Almost surely, 2211000120 is an apocalyptic number.

211000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000120 is an abundant number, since it is smaller than the sum of its proper divisors (264300680).

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

211000120 is a wasteful number, since it uses less digits than its factorization.

211000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 211000120 is about 14525.8431769037. The cubic root of 211000120 is about 595.3342941734.

Adding to 211000120 its reverse (21000112), we get a palindrome (232000232).

The spelling of 211000120 in words is "two hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 1039 2078 4156 5077 5195 8312 10154 10390 20308 20780 25385 40616 41560 50770 101540 203080 5275003 10550006 21100012 26375015 42200024 52750030 105500060 211000120