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211302320 = 2452641279
BaseRepresentation
bin11001001100000…
…11011110110000
3112201121021021212
430212003132300
5413043133240
632544535252
75144016515
oct1446033660
9481537255
10211302320
11a9302619
125a921528
1334a13878
14200c530c
151383d165
hexc9837b0

211302320 has 20 divisors (see below), whose sum is σ = 491278080. Its totient is φ = 84520896.

The previous prime is 211302317. The next prime is 211302347. The reversal of 211302320 is 23203112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 211302295 and 211302304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320560 + ... + 1320719.

It is an arithmetic number, because the mean of its divisors is an integer number (24563904).

Almost surely, 2211302320 is an apocalyptic number.

211302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211302320 is an abundant number, since it is smaller than the sum of its proper divisors (279975760).

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

211302320 is a wasteful number, since it uses less digits than its factorization.

211302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641292 (or 2641286 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 211302320 is about 14536.2416050367. The cubic root of 211302320 is about 595.6183764784.

Adding to 211302320 its reverse (23203112), we get a palindrome (234505432).

The spelling of 211302320 in words is "two hundred eleven million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2641279 5282558 10565116 13206395 21130232 26412790 42260464 52825580 105651160 211302320