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213464105 = 5149349821
BaseRepresentation
bin11001011100100…
…11010000101001
3112212200002200222
430232103100221
5414121322410
633103135425
75201262221
oct1456232051
9485602628
10213464105
11aa549818
125b5a4575
13352bc82a
14204c9081
1513b18955
hexcb93429

213464105 has 16 divisors (see below), whose sum is σ = 258930000. Its totient is φ = 168933120.

The previous prime is 213464093. The next prime is 213464113. The reversal of 213464105 is 501464312.

It can be written as a sum of positive squares in 8 ways, for example, as 16875664 + 196588441 = 4108^2 + 14021^2 .

It is not a de Polignac number, because 213464105 - 220 = 212415529 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 259595 + ... + 260415.

It is an arithmetic number, because the mean of its divisors is an integer number (16183125).

Almost surely, 2213464105 is an apocalyptic number.

It is an amenable number.

213464105 is a deficient number, since it is larger than the sum of its proper divisors (45465895).

213464105 is a wasteful number, since it uses less digits than its factorization.

213464105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 213464105 is about 14610.4108429572. The cubic root of 213464105 is about 597.6426997623.

The spelling of 213464105 in words is "two hundred thirteen million, four hundred sixty-four thousand, one hundred five".

Divisors: 1 5 149 349 745 821 1745 4105 52001 122329 260005 286529 611645 1432645 42692821 213464105