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212521473 = 321011132069
BaseRepresentation
bin11001010101011…
…01001000000001
3112210220012122200
430222231020001
5413401141343
633031023413
75160255063
oct1452551001
9483805580
10212521473
11a9a6558a
125b20ab69
133504c768
1420321733
15139ce4d3
hexcaad201

212521473 has 24 divisors (see below), whose sum is σ = 312909480. Its totient is φ = 138969600.

The previous prime is 212521459. The next prime is 212521487. The reversal of 212521473 is 374125212.

It is an interprime number because it is at equal distance from previous prime (212521459) and next prime (212521487).

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 206410689 = 2472^2 + 14367^2 .

It is not a de Polignac number, because 212521473 - 24 = 212521457 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (212521423) 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 23 ways as a sum of consecutive naturals, for example, 101683 + ... + 103751.

It is an arithmetic number, because the mean of its divisors is an integer number (13037895).

Almost surely, 2212521473 is an apocalyptic number.

It is an amenable number.

212521473 is a deficient number, since it is larger than the sum of its proper divisors (100388007).

212521473 is a wasteful number, since it uses less digits than its factorization.

212521473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2286 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 212521473 is about 14578.1162363318. The cubic root of 212521473 is about 596.7616954158.

Adding to 212521473 its reverse (374125212), we get a palindrome (586646685).

The spelling of 212521473 in words is "two hundred twelve million, five hundred twenty-one thousand, four hundred seventy-three".

Divisors: 1 3 9 101 113 303 339 909 1017 2069 6207 11413 18621 34239 102717 208969 233797 626907 701391 1880721 2104173 23613497 70840491 212521473