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210320201 = 7213418053
BaseRepresentation
bin11001000100100…
…11101101001001
3112122202101002002
430202103231021
5412320221301
632511520345
75132456300
oct1442235511
9478671062
10210320201
11a87a1753
125a5290b5
133475b830
141dd0b437
15136e716b
hexc893b49

210320201 has 24 divisors (see below), whose sum is σ = 269937864. Its totient is φ = 162328320.

The previous prime is 210320197. The next prime is 210320219. The reversal of 210320201 is 102023012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 765625 + 209554576 = 875^2 + 14476^2 .

It is not a de Polignac number, because 210320201 - 22 = 210320197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210320221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22091 + ... + 30143.

It is an arithmetic number, because the mean of its divisors is an integer number (11247411).

Almost surely, 2210320201 is an apocalyptic number.

It is an amenable number.

210320201 is a deficient number, since it is larger than the sum of its proper divisors (59617663).

210320201 is a wasteful number, since it uses less digits than its factorization.

210320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 210320201 is about 14502.4205221060. The cubic root of 210320201 is about 594.6941449961.

Adding to 210320201 its reverse (102023012), we get a palindrome (312343213).

The spelling of 210320201 in words is "two hundred ten million, three hundred twenty thousand, two hundred one".

Divisors: 1 7 13 41 49 91 287 533 637 2009 3731 8053 26117 56371 104689 330173 394597 732823 2311211 4292249 5129761 16178477 30045743 210320201