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213361141 = 7243131773
BaseRepresentation
bin11001011011110…
…10000111110101
3112212110212110111
430231322013311
5414110024031
633101023021
75200353100
oct1455720765
9485425414
10213361141
11aa489424
125b554a71
13352849c6
142049d737
1513ae81b1
hexcb7a1f5

213361141 has 24 divisors (see below), whose sum is σ = 256237344. Its totient is φ = 177035040.

The previous prime is 213361139. The next prime is 213361147. The reversal of 213361141 is 141163312.

It is not a de Polignac number, because 213361141 - 21 = 213361139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213361147) 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 23 ways as a sum of consecutive naturals, for example, 275631 + ... + 276403.

It is an arithmetic number, because the mean of its divisors is an integer number (10676556).

Almost surely, 2213361141 is an apocalyptic number.

It is an amenable number.

213361141 is a deficient number, since it is larger than the sum of its proper divisors (42876203).

213361141 is a wasteful number, since it uses less digits than its factorization.

213361141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 213361141 is about 14606.8867661798. The cubic root of 213361141 is about 597.5465937066.

The spelling of 213361141 in words is "two hundred thirteen million, three hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 7 43 49 131 301 773 917 2107 5411 5633 6419 33239 37877 39431 101263 232673 276017 708841 1628711 4354309 4961887 30480163 213361141