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1000200202221 = 311171782888061
BaseRepresentation
bin11101000111000001001…
…00111110011111101101
310112121200200010202022010
432203200210332133231
5112341402222432341
62043252521311433
7132155615304663
oct16434044763755
93477620122263
101000200202221
11356200a36880
12141a19035579
137341a8c3bac
14365a4c7cc33
151b03e110716
hexe8e093e7ed

1000200202221 has 16 divisors (see below), whose sum is σ = 1540415285568. Its totient is φ = 570524179200.

The previous prime is 1000200202213. The next prime is 1000200202231. The reversal of 1000200202221 is 1222020020001.

It is not a de Polignac number, because 1000200202221 - 23 = 1000200202213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000200202197 and 1000200202206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200202231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891443470 + ... + 891444591.

It is an arithmetic number, because the mean of its divisors is an integer number (96275955348).

Almost surely, 21000200202221 is an apocalyptic number.

1000200202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000200202221 is a deficient number, since it is larger than the sum of its proper divisors (540215083347).

1000200202221 is a wasteful number, since it uses less digits than its factorization.

1000200202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782888092.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000200202221 its reverse (1222020020001), we get a palindrome (2222220222222).

The spelling of 1000200202221 in words is "one trillion, two hundred million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 1782888061 5348664183 19611768671 30309097037 58835306013 90927291111 333400067407 1000200202221