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211443012 = 2232113714431
BaseRepresentation
bin11001001101001…
…01110101000100
3112201212102021200
430212211311010
5413112134022
632551542500
75145143634
oct1446456504
9481772250
10211443012
11a93992a0
125a98aa30
1334a62911
14201206c4
1513869bac
hexc9a5d44

211443012 has 72 divisors (see below), whose sum is σ = 598870272. Its totient is φ = 62337600.

The previous prime is 211443007. The next prime is 211443017. The reversal of 211443012 is 210344112.

211443012 is a `hidden beast` number, since 211 + 443 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (211443007) and next prime (211443017).

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

It is not an unprimeable number, because it can be changed into a prime (211443017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7437 + ... + 21867.

Almost surely, 2211443012 is an apocalyptic number.

211443012 is a gapful number since it is divisible by the number (22) 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 211443012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299435136).

211443012 is an abundant number, since it is smaller than the sum of its proper divisors (387427260).

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

211443012 is a wasteful number, since it uses less digits than its factorization.

211443012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211443012 is about 14541.0801524508. The cubic root of 211443012 is about 595.7505412189.

Adding to 211443012 its reverse (210344112), we get a palindrome (421787124).

The spelling of 211443012 in words is "two hundred eleven million, four hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14431 14652 28862 43293 57724 86586 129879 158741 173172 259758 317482 476223 519516 533947 634964 952446 1067894 1428669 1601841 1904892 2135788 2857338 3203682 4805523 5714676 5873417 6407364 9611046 11746834 17620251 19222092 23493668 35240502 52860753 70481004 105721506 211443012