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212032113201 = 32144611629149
BaseRepresentation
bin1100010101111000011…
…0010100101000110001
3202021021212211100212200
43011132012110220301
511433220210110301
6241223424013413
721214232140146
oct3053606245061
9667255740780
10212032113201
1181a16666a07
1235115161269
1316cc101879c
14a39609c3cd
1557ae939c86
hex315e194a31

212032113201 has 12 divisors (see below), whose sum is σ = 306289974900. Its totient is φ = 141344880480.

The previous prime is 212032113149. The next prime is 212032113217. The reversal of 212032113201 is 102311230212.

212032113201 is a `hidden beast` number, since 2 + 1 + 20 + 321 + 1 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81382396176 + 130649717025 = 285276^2 + 361455^2 .

It is not a de Polignac number, because 212032113201 - 210 = 212032112177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212032113221) 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 11 ways as a sum of consecutive naturals, for example, 684426 + ... + 944723.

It is an arithmetic number, because the mean of its divisors is an integer number (25524164575).

Almost surely, 2212032113201 is an apocalyptic number.

It is an amenable number.

212032113201 is a deficient number, since it is larger than the sum of its proper divisors (94257861699).

212032113201 is a wasteful number, since it uses less digits than its factorization.

212032113201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643616 (or 1643613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212032113201 its reverse (102311230212), we get a palindrome (314343343413).

The spelling of 212032113201 in words is "two hundred twelve billion, thirty-two million, one hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 14461 43383 130149 1629149 4887447 14662341 23559123689 70677371067 212032113201