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213212131 = 11175311057
BaseRepresentation
bin11001011010101…
…01101111100011
3112212012022001121
430231111233203
5414040242011
633053513111
75166162466
oct1455255743
9485168047
10213212131
11aa397480
125b4a2797
1335231c32
14204612dd
1513ab8e71
hexcb55be3

213212131 has 8 divisors (see below), whose sum is σ = 232748784. Its totient is φ = 193701120.

The previous prime is 213212117. The next prime is 213212137. The reversal of 213212131 is 131212312.

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 213212131 - 25 = 213212099 is a prime.

It is a super-2 number, since 2×2132121312 = 90918825611122322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213212137) 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 7 ways as a sum of consecutive naturals, for example, 13755 + ... + 24811.

It is an arithmetic number, because the mean of its divisors is an integer number (29093598).

Almost surely, 2213212131 is an apocalyptic number.

213212131 is a deficient number, since it is larger than the sum of its proper divisors (19536653).

213212131 is a wasteful number, since it uses less digits than its factorization.

213212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821.

The product of its digits is 72, while the sum is 16.

The square root of 213212131 is about 14601.7851990775. The cubic root of 213212131 is about 597.4074537896.

Adding to 213212131 its reverse (131212312), we get a palindrome (344424443).

The spelling of 213212131 in words is "two hundred thirteen million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 1753 11057 19283 121627 19382921 213212131