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12200010201 = 321355556689
BaseRepresentation
bin10110101110010110…
…10110000111011001
31011111020110201202200
423113023112013121
5144441200311301
65334332320413
7611220242601
oct132713260731
934436421680
1012200010201
1151a0651265
122445913109
1311c5723662
1483a403c01
154b60ccc86
hex2d72d61d9

12200010201 has 6 divisors (see below), whose sum is σ = 17622236970. Its totient is φ = 8133340128.

The previous prime is 12200010167. The next prime is 12200010217. The reversal of 12200010201 is 10201000221.

It can be written as a sum of positive squares in only one way, i.e., 9155619225 + 3044390976 = 95685^2 + 55176^2 .

It is not a de Polignac number, because 12200010201 - 210 = 12200009177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1355556689 = 12200010201 / (1 + 2 + 2 + 0 + 0 + 0 + 1 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (12200010001) 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 5 ways as a sum of consecutive naturals, for example, 677778336 + ... + 677778353.

It is an arithmetic number, because the mean of its divisors is an integer number (2937039495).

Almost surely, 212200010201 is an apocalyptic number.

It is an amenable number.

12200010201 is a deficient number, since it is larger than the sum of its proper divisors (5422226769).

12200010201 is a wasteful number, since it uses less digits than its factorization.

12200010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355556695 (or 1355556692 counting only the distinct ones).

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

Adding to 12200010201 its reverse (10201000221), we get a palindrome (22401010422).

The spelling of 12200010201 in words is "twelve billion, two hundred million, ten thousand, two hundred one".

Divisors: 1 3 9 1355556689 4066670067 12200010201