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1000200102201 = 32137811192297
BaseRepresentation
bin11101000111000001001…
…00100110000100111001
310112121200122221200002200
432203200210212010321
5112341402211232301
62043252515220413
7132155614410246
oct16434044460471
93477618850080
101000200102201
11356200978713
12141a18ba7709
137341a88a501
14365a4c545cd
151b03e0e0c86
hexe8e0926139

1000200102201 has 12 divisors (see below), whose sum is σ = 1455278982612. Its totient is φ = 661932913536.

The previous prime is 1000200102197. The next prime is 1000200102211. The reversal of 1000200102201 is 1022010020001.

It can be written as a sum of positive squares in 2 ways, for example, as 305184429225 + 695015672976 = 552435^2 + 833676^2 .

It is not a de Polignac number, because 1000200102201 - 22 = 1000200102197 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 (1000200102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405594916 + ... + 405597381.

It is an arithmetic number, because the mean of its divisors is an integer number (121273248551).

Almost surely, 21000200102201 is an apocalyptic number.

It is an amenable number.

1000200102201 is a deficient number, since it is larger than the sum of its proper divisors (455078880411).

1000200102201 is a wasteful number, since it uses less digits than its factorization.

1000200102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811192440 (or 811192437 counting only the distinct ones).

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

Adding to 1000200102201 its reverse (1022010020001), we get a palindrome (2022210122202).

The spelling of 1000200102201 in words is "one trillion, two hundred million, one hundred two thousand, two hundred one".

Divisors: 1 3 9 137 411 1233 811192297 2433576891 7300730673 111133344689 333400034067 1000200102201