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212063013009 = 3419226932
BaseRepresentation
bin1100010101111111110…
…0001100100010010001
3202021101000222020110000
43011133330030202101
511433301112404014
6241230450200213
721215055604101
oct3053774144221
9667330866400
10212063013009
1181a32051441
1235123583069
1316cc75471b3
14a39a223201
1557b24e0509
hex315ff0c891

212063013009 has 45 divisors (see below), whose sum is σ = 334460127243. Its totient is φ = 133884800208.

The previous prime is 212063012989. The next prime is 212063013017. The reversal of 212063013009 is 900310360212.

The square root of 212063013009 is 460503.

It is a perfect power (a square), and thus also a powerful number.

212063013009 is a `hidden beast` number, since 2 + 1 + 20 + 630 + 1 + 3 + 0 + 0 + 9 = 666.

212063013009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 87010250625 + 125052762384 = 294975^2 + 353628^2 .

It is not a de Polignac number, because 212063013009 - 231 = 209915529361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212063013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78744667 + ... + 78747359.

Almost surely, 2212063013009 is an apocalyptic number.

212063013009 is the 460503-rd square number.

212063013009 is the 230252-nd centered octagonal number.

It is an amenable number.

212063013009 is a deficient number, since it is larger than the sum of its proper divisors (122397114234).

212063013009 is an frugal number, since it uses more digits than its factorization.

212063013009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 212063013009 in words is "two hundred twelve billion, sixty-three million, thirteen thousand, nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 2693 3249 8079 9747 24237 29241 51167 72711 153501 218133 460503 972173 1381509 2916519 4144527 7252249 8749557 21756747 26248671 65270241 78746013 137792731 195810723 413378193 587432169 1240134579 2618061889 3720403737 7854185667 11161211211 23562557001 70687671003 212063013009