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213130241 = 1780915497
BaseRepresentation
bin11001011010000…
…01110000000001
3112212001010201122
430231001300001
5414030131431
633052042025
75165401652
oct1455016001
9485033648
10213130241
11aa3409a5
125b463315
133520388c
142043d529
1513a9ea7b
hexcb41c01

213130241 has 8 divisors (see below), whose sum is σ = 225960840. Its totient is φ = 200332288.

The previous prime is 213130237. The next prime is 213130261. The reversal of 213130241 is 142031312.

It can be written as a sum of positive squares in 4 ways, for example, as 162307600 + 50822641 = 12740^2 + 7129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213130241 - 22 = 213130237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213130261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6005 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (28245105).

Almost surely, 2213130241 is an apocalyptic number.

It is an amenable number.

213130241 is a deficient number, since it is larger than the sum of its proper divisors (12830599).

213130241 is a wasteful number, since it uses less digits than its factorization.

213130241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 213130241 is about 14598.9808205916. The cubic root of 213130241 is about 597.3309603919.

Adding to 213130241 its reverse (142031312), we get a palindrome (355161553).

The spelling of 213130241 in words is "two hundred thirteen million, one hundred thirty thousand, two hundred forty-one".

Divisors: 1 17 809 13753 15497 263449 12537073 213130241