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213312437 = 13372771601
BaseRepresentation
bin11001011011011…
…10001110110101
3112212101101122122
430231232032311
5414101444222
633100005325
75200061102
oct1455561665
9485341578
10213312437
11aa455878
125b530845
13352687a0
1420489aa9
1513ad8a42
hexcb6e3b5

213312437 has 16 divisors (see below), whose sum is σ = 236929392. Its totient is φ = 190771200.

The previous prime is 213312431. The next prime is 213312443. The reversal of 213312437 is 734213312.

It is an interprime number because it is at equal distance from previous prime (213312431) and next prime (213312443).

It can be written as a sum of positive squares in 8 ways, for example, as 10278436 + 203034001 = 3206^2 + 14249^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312437 - 220 = 212263861 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 (213312431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132437 + ... + 134037.

It is an arithmetic number, because the mean of its divisors is an integer number (14808087).

Almost surely, 2213312437 is an apocalyptic number.

It is an amenable number.

213312437 is a deficient number, since it is larger than the sum of its proper divisors (23616955).

213312437 is a wasteful number, since it uses less digits than its factorization.

213312437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928.

The product of its digits is 3024, while the sum is 26.

The square root of 213312437 is about 14605.2195122155. The cubic root of 213312437 is about 597.5011228774.

Adding to 213312437 its reverse (734213312), we get a palindrome (947525749).

The spelling of 213312437 in words is "two hundred thirteen million, three hundred twelve thousand, four hundred thirty-seven".

Divisors: 1 13 37 277 481 1601 3601 10249 20813 59237 133237 443477 770081 5765201 16408649 213312437