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211025120 = 2552694903
BaseRepresentation
bin11001001001111…
…11110011100000
3112201002012001012
430210333303200
5413010300440
632535000052
75141453405
oct1444776340
9481065035
10211025120
11a9133329
125a809028
1334947647
14200522ac
15137d5e65
hexc93fce0

211025120 has 48 divisors (see below), whose sum is σ = 500502240. Its totient is φ = 84079104.

The previous prime is 211025119. The next prime is 211025173. The reversal of 211025120 is 21520112.

It is a junction number, because it is equal to n+sod(n) for n = 211025095 and 211025104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40589 + ... + 45491.

It is an arithmetic number, because the mean of its divisors is an integer number (10427130).

Almost surely, 2211025120 is an apocalyptic number.

211025120 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 211025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250251120).

211025120 is an abundant number, since it is smaller than the sum of its proper divisors (289477120).

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

211025120 is a wasteful number, since it uses less digits than its factorization.

211025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 211025120 is about 14526.7036866593. The cubic root of 211025120 is about 595.3578056444.

Adding to 211025120 its reverse (21520112), we get a palindrome (232545232).

The spelling of 211025120 in words is "two hundred eleven million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 538 1076 1345 2152 2690 4304 4903 5380 8608 9806 10760 19612 21520 24515 39224 43040 49030 78448 98060 156896 196120 392240 784480 1318907 2637814 5275628 6594535 10551256 13189070 21102512 26378140 42205024 52756280 105512560 211025120