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1000202210201 = 44911321196769
BaseRepresentation
bin11101000111000001011…
…00101000101110011001
310112121200210220202201202
432203200230220232121
5112341403231211301
62043253032323545
7132155641340105
oct16434054505631
93477623822652
101000202210201
11356202088467
12141a198435b5
137341b147b4c
14365a5242905
151b03e3aa66b
hexe8e0b28b99

1000202210201 has 8 divisors (see below), whose sum is σ = 1002523473000. Its totient is φ = 997881364480.

The previous prime is 1000202210197. The next prime is 1000202210207. The reversal of 1000202210201 is 1020122020001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6831187801 + 993371022400 = 82651^2 + 996680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000202210201 - 22 = 1000202210197 is a prime.

It is a super-2 number, since 2×10002022102012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000202210207) 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 7 ways as a sum of consecutive naturals, for example, 4984745 + ... + 5181513.

It is an arithmetic number, because the mean of its divisors is an integer number (125315434125).

Almost surely, 21000202210201 is an apocalyptic number.

It is an amenable number.

1000202210201 is a deficient number, since it is larger than the sum of its proper divisors (2321262799).

1000202210201 is a wasteful number, since it uses less digits than its factorization.

1000202210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208539.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000202210201 its reverse (1020122020001), we get a palindrome (2020324230202).

The spelling of 1000202210201 in words is "one trillion, two hundred two million, two hundred ten thousand, two hundred one".

Divisors: 1 449 11321 196769 5083129 88349281 2227621849 1000202210201