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213115136 = 281364037
BaseRepresentation
bin11001011001111…
…10000100000000
3112212000101000012
430230332010000
5414024141021
633051444052
75165306633
oct1454760400
9485011005
10213115136
11aa330613
125b456628
13351c9a40
1420437c1a
1513a9a35b
hexcb3e100

213115136 has 36 divisors (see below), whose sum is σ = 458127852. Its totient is φ = 98359296.

The previous prime is 213115121. The next prime is 213115157. The reversal of 213115136 is 631511312.

It can be written as a sum of positive squares in 2 ways, for example, as 14868736 + 198246400 = 3856^2 + 14080^2 .

It is a super-2 number, since 2×2131151362 = 90836122384596992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28691 + ... + 35346.

Almost surely, 2213115136 is an apocalyptic number.

213115136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213115136 is an abundant number, since it is smaller than the sum of its proper divisors (245012716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213115136 is an equidigital number, since it uses as much as digits as its factorization.

213115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64066 (or 64052 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 213115136 is about 14598.4634807914. The cubic root of 213115136 is about 597.3168486806.

Adding to 213115136 its reverse (631511312), we get a palindrome (844626448).

The spelling of 213115136 in words is "two hundred thirteen million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 64037 128074 256148 512296 832481 1024592 1664962 2049184 3329924 4098368 6659848 8196736 13319696 16393472 26639392 53278784 106557568 213115136