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211135320 = 2332511237131
BaseRepresentation
bin11001001010110…
…10101101011000
3112201021210012200
430211122231120
5413022312240
632541210200
75142422604
oct1445325530
9481253180
10211135320
11a91a9100
125a860960
1334985856
1420080504
1513808930
hexc95ab58

211135320 has 288 divisors, whose sum is σ = 780539760. Its totient is φ = 49420800.

The previous prime is 211135307. The next prime is 211135339. The reversal of 211135320 is 23531112.

211135320 is a `hidden beast` number, since 21 + 113 + 532 + 0 = 666.

211135320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211135293 and 211135302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1611655 + ... + 1611785.

Almost surely, 2211135320 is an apocalyptic number.

211135320 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 211135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390269880).

211135320 is an abundant number, since it is smaller than the sum of its proper divisors (569404440).

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

211135320 is a wasteful number, since it uses less digits than its factorization.

211135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 211135320 is about 14530.4962062553. The cubic root of 211135320 is about 595.4614220811.

Adding to 211135320 its reverse (23531112), we get a palindrome (234666432).

It can be divided in two parts, 211 and 135320, that added together give a palindrome (135531).

The spelling of 211135320 in words is "two hundred eleven million, one hundred thirty-five thousand, three hundred twenty".