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1000220000201 = 41121323778461
BaseRepresentation
bin11101000111000011100…
…00011111111111001001
310112121202001101121000122
432203201300133333021
5112341422310001301
62043254505513025
7132156245503022
oct16434160377711
93477661347018
101000220000201
11356211129344
12141a237a2775
1373421a36386
14365a7753c49
151b040c2181b
hexe8e1c1ffc9

1000220000201 has 16 divisors (see below), whose sum is σ = 1026012964368. Its totient is φ = 974494540800.

The previous prime is 1000220000179. The next prime is 1000220000203. The reversal of 1000220000201 is 1020000220001.

It can be written as a sum of positive squares in 8 ways, for example, as 182244463801 + 817975536400 = 426901^2 + 904420^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000220000201 - 238 = 725342093257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000220000203) 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, 118211111 + ... + 118219571.

It is an arithmetic number, because the mean of its divisors is an integer number (64125810273).

Almost surely, 21000220000201 is an apocalyptic number.

It is an amenable number.

1000220000201 is a deficient number, since it is larger than the sum of its proper divisors (25792964167).

1000220000201 is a wasteful number, since it uses less digits than its factorization.

1000220000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092.

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

Adding to 1000220000201 its reverse (1020000220001), we get a palindrome (2020220220202).

The spelling of 1000220000201 in words is "one trillion, two hundred twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 41 1213 2377 8461 49733 97457 346901 2883301 10263193 20111797 118215341 420790913 824583677 24395609761 1000220000201