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213431345 = 517892317
BaseRepresentation
bin11001011100010…
…11010000110001
3112212121102202122
430232023100301
5414114300340
633102324025
75201064551
oct1456132061
9485542678
10213431345
11aa527146
125b589615
13352aa94a
14204bb161
1513b0ddb5
hexcb8b431

213431345 has 24 divisors (see below), whose sum is σ = 275129784. Its totient is φ = 158394368.

The previous prime is 213431321. The next prime is 213431359. The reversal of 213431345 is 543134312.

It can be written as a sum of positive squares in 12 ways, for example, as 135303424 + 78127921 = 11632^2 + 8839^2 .

It is a de Polignac number, because none of the positive numbers 2k-213431345 is a prime.

It is a Duffinian number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 673127 + ... + 673443.

It is an arithmetic number, because the mean of its divisors is an integer number (11463741).

Almost surely, 2213431345 is an apocalyptic number.

It is an amenable number.

213431345 is a deficient number, since it is larger than the sum of its proper divisors (61698439).

213431345 is an equidigital number, since it uses as much as digits as its factorization.

213431345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 428 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 213431345 is about 14609.2896815691. The cubic root of 213431345 is about 597.6121251035.

Adding to 213431345 its reverse (543134312), we get a palindrome (756565657).

The spelling of 213431345 in words is "two hundred thirteen million, four hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 5 17 85 89 317 445 1513 1585 5389 7565 7921 26945 28213 39605 134657 141065 479621 673285 2398105 2510957 12554785 42686269 213431345