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213123512 = 23731293419
BaseRepresentation
bin11001011010000…
…00000110111000
3112212000210111102
430231000012320
5414024423022
633051550532
75165343230
oct1455000670
9485023442
10213123512
11aa336938
125b45b448
13352007b4
142043acc0
1513a9ca92
hexcb401b8

213123512 has 64 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 87880320.

The previous prime is 213123511. The next prime is 213123539. The reversal of 213123512 is 215321312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 508439 + ... + 508857.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2213123512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213123512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

213123512 is an abundant number, since it is smaller than the sum of its proper divisors (261039688).

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

213123512 is a wasteful number, since it uses less digits than its factorization.

213123512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 213123512 is about 14598.7503574792. The cubic root of 213123512 is about 597.3246739661.

Adding to 213123512 its reverse (215321312), we get a palindrome (428444824).

The spelling of 213123512 in words is "two hundred thirteen million, one hundred twenty-three thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 293 419 434 586 838 868 1172 1676 1736 2051 2344 2933 3352 4102 5866 8204 9083 11732 12989 16408 18166 23464 25978 36332 51956 63581 72664 90923 103912 122767 127162 181846 245534 254324 363692 491068 508648 727384 859369 982136 1718738 3437476 3805777 6874952 7611554 15223108 26640439 30446216 53280878 106561756 213123512