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213328143 = 32719315749
BaseRepresentation
bin11001011011100…
…10000100001111
3112212102012012100
430231302010033
5414103000033
633100210143
75200154640
oct1455620417
9485365170
10213328143
11aa466656
125b539953
1335272992
14204916c7
1513add513
hexcb7210f

213328143 has 48 divisors (see below), whose sum is σ = 382720000. Its totient is φ = 111741120.

The previous prime is 213328103. The next prime is 213328153. The reversal of 213328143 is 341823312.

213328143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213328143 - 218 = 213065999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213328103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34233 + ... + 39981.

Almost surely, 2213328143 is an apocalyptic number.

213328143 is a deficient number, since it is larger than the sum of its proper divisors (169391857).

213328143 is a wasteful number, since it uses less digits than its factorization.

213328143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5809 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 213328143 is about 14605.7571868082. The cubic root of 213328143 is about 597.5157870049.

It can be divided in two parts, 2133 and 28143, that added together give a square (30276 = 1742).

The spelling of 213328143 in words is "two hundred thirteen million, three hundred twenty-eight thousand, one hundred forty-three".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1197 1767 1953 4123 5301 5749 12369 17247 37107 40243 51741 109231 120729 178219 327693 362187 534657 764617 983079 1247533 1603971 2293851 3386161 3742599 6881553 10158483 11227797 23703127 30475449 71109381 213328143