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1000201222201 = 4193412611621
BaseRepresentation
bin11101000111000001010…
…00110111100000111001
310112121200202001120110011
432203200220313200321
5112341403003102301
62043252555221521
7132155630053456
oct16434050674071
93477622046404
101000201222201
11356201573135
12141a194478a1
137341ab9022c
14365a506682d
151b03e262a51
hexe8e0a37839

1000201222201 has 8 divisors (see below), whose sum is σ = 1024706454408. Its totient is φ = 975701232000.

The previous prime is 1000201222151. The next prime is 1000201222301. The reversal of 1000201222201 is 1022221020001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47724771600 + 952476450601 = 218460^2 + 975949^2 .

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 1000201222201 - 29 = 1000201221689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000201222301) 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, 922830 + ... + 1688791.

It is an arithmetic number, because the mean of its divisors is an integer number (128088306801).

Almost surely, 21000201222201 is an apocalyptic number.

It is an amenable number.

1000201222201 is a deficient number, since it is larger than the sum of its proper divisors (24505232207).

1000201222201 is an equidigital number, since it uses as much as digits as its factorization.

1000201222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621003.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1000201222201 its reverse (1022221020001), we get a palindrome (2022422242202).

The spelling of 1000201222201 in words is "one trillion, two hundred one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 41 9341 382981 2611621 107076461 24395151761 1000201222201