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212010201 = 32131812053
BaseRepresentation
bin11001010001100…
…00010011011001
3112202221020022200
430220300103121
5413233311301
633012040413
75153025354
oct1450602331
9482836280
10212010201
11a9746447
125b003109
1334c00b30
142022b29b
151392cc86
hexca304d9

212010201 has 12 divisors (see below), whose sum is σ = 329793828. Its totient is φ = 130467744.

The previous prime is 212010173. The next prime is 212010203. The reversal of 212010201 is 102010212.

It can be written as a sum of positive squares in 2 ways, for example, as 94070601 + 117939600 = 9699^2 + 10860^2 .

It is a de Polignac number, because none of the positive numbers 2k-212010201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212010203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905910 + ... + 906143.

It is an arithmetic number, because the mean of its divisors is an integer number (27482819).

Almost surely, 2212010201 is an apocalyptic number.

It is an amenable number.

212010201 is a deficient number, since it is larger than the sum of its proper divisors (117783627).

212010201 is a wasteful number, since it uses less digits than its factorization.

212010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812072 (or 1812069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212010201 is about 14560.5700781254. The cubic root of 212010201 is about 596.2827594305.

Adding to 212010201 its reverse (102010212), we get a palindrome (314020413).

It can be divided in two parts, 2120 and 10201, that added together give a palindrome (12321).

The spelling of 212010201 in words is "two hundred twelve million, ten thousand, two hundred one".

Divisors: 1 3 9 13 39 117 1812053 5436159 16308477 23556689 70670067 212010201