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212020101 = 3237636697
BaseRepresentation
bin11001010001100…
…10101110000101
3112202221201220100
430220302232011
5413234120401
633012154313
75153066256
oct1450625605
9482851810
10212020101
11a9752927
125b008999
1334c054a7
1420230b2d
1513930b86
hexca32b85

212020101 has 12 divisors (see below), whose sum is σ = 314528812. Its totient is φ = 137526336.

The previous prime is 212020063. The next prime is 212020103. The reversal of 212020101 is 101020212.

It can be written as a sum of positive squares in 2 ways, for example, as 155002500 + 57017601 = 12450^2 + 7551^2 .

It is not a de Polignac number, because 212020101 - 26 = 212020037 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020103) 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 11 ways as a sum of consecutive naturals, for example, 318016 + ... + 318681.

Almost surely, 2212020101 is an apocalyptic number.

It is an amenable number.

212020101 is a deficient number, since it is larger than the sum of its proper divisors (102508711).

212020101 is a wasteful number, since it uses less digits than its factorization.

212020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636740 (or 636737 counting only the distinct ones).

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

The square root of 212020101 is about 14560.9100333736. The cubic root of 212020101 is about 596.2920405994.

Adding to 212020101 its reverse (101020212), we get a palindrome (313040313).

The spelling of 212020101 in words is "two hundred twelve million, twenty thousand, one hundred one".

Divisors: 1 3 9 37 111 333 636697 1910091 5730273 23557789 70673367 212020101