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213314134011 = 311197274111971
BaseRepresentation
bin1100011010101010000…
…0110101111111111011
3202101121020011202210220
43012222200311333323
511443331404242021
6241554542111123
721261060136146
oct3065240657773
9671536152726
10213314134011
11825142a4140
123541257b4a3
13171667ca094
14a47845d05d
155837277cc6
hex31aa835ffb

213314134011 has 32 divisors (see below), whose sum is σ = 311989936896. Its totient is φ = 128567376000.

The previous prime is 213314133983. The next prime is 213314134013. The reversal of 213314134011 is 110431413312.

It is a happy number.

It is not a de Polignac number, because 213314134011 - 29 = 213314133499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213314134013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17813256 + ... + 17825226.

It is an arithmetic number, because the mean of its divisors is an integer number (9749685528).

Almost surely, 2213314134011 is an apocalyptic number.

213314134011 is a deficient number, since it is larger than the sum of its proper divisors (98675802885).

213314134011 is a wasteful number, since it uses less digits than its factorization.

213314134011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14923.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213314134011 its reverse (110431413312), we get a palindrome (323745547323).

The spelling of 213314134011 in words is "two hundred thirteen billion, three hundred fourteen million, one hundred thirty-four thousand, eleven".

Divisors: 1 3 11 33 197 591 2167 2741 6501 8223 11971 30151 35913 90453 131681 395043 539977 1619931 2358287 5939747 7074861 17819241 25941157 32812511 77823471 98437533 360937621 1082812863 6464064667 19392194001 71104711337 213314134011