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211352313 = 31723180181
BaseRepresentation
bin11001001100011…
…11101011111001
3112201200210212110
430212033223321
5413101233223
632550002533
75144315334
oct1446175371
9481623773
10211352313
11a9337137
125a946449
1334a30553
14200d961b
151384cd93
hexc98faf9

211352313 has 16 divisors (see below), whose sum is σ = 311354496. Its totient is φ = 126846720.

The previous prime is 211352299. The next prime is 211352321. The reversal of 211352313 is 313253112.

It is not a de Polignac number, because 211352313 - 26 = 211352249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211352313.

It is not an unprimeable number, because it can be changed into a prime (211352363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88918 + ... + 91263.

It is an arithmetic number, because the mean of its divisors is an integer number (19459656).

Almost surely, 2211352313 is an apocalyptic number.

211352313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211352313 is a deficient number, since it is larger than the sum of its proper divisors (100002183).

211352313 is a wasteful number, since it uses less digits than its factorization.

211352313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180224.

The product of its digits is 540, while the sum is 21.

The square root of 211352313 is about 14537.9611018877. The cubic root of 211352313 is about 595.6653461496.

The spelling of 211352313 in words is "two hundred eleven million, three hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 17 23 51 69 391 1173 180181 540543 3063077 4144163 9189231 12432489 70450771 211352313