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2200220010001 = 137313722774551
BaseRepresentation
bin100000000001000111010…
…101010000011000010001
321210100011010010012110001
4200001013111100120101
5242022022310310001
64402433410410001
7314650334336446
oct40010725203021
97710133105401
102200220010001
11779120921832
122b6501290901
1312c631325680
14786c3c819cd
153c375910001
hex20047550611

2200220010001 has 32 divisors (see below), whose sum is σ = 2430149476608. Its totient is φ = 1979742643200.

The previous prime is 2200220009941. The next prime is 2200220010017. The reversal of 2200220010001 is 1000100220022.

It is a cyclic number.

It is not a de Polignac number, because 2200220010001 - 215 = 2200219977233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2200220010001.

It is not an unprimeable number, because it can be changed into a prime (2200220070001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29475676 + ... + 29550226.

It is an arithmetic number, because the mean of its divisors is an integer number (75942171144).

Almost surely, 22200220010001 is an apocalyptic number.

It is an amenable number.

2200220010001 is a deficient number, since it is larger than the sum of its proper divisors (229929466607).

2200220010001 is a wasteful number, since it uses less digits than its factorization.

2200220010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75001.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2200220010001 its reverse (1000100220022), we get a palindrome (3200320230023).

The spelling of 2200220010001 in words is "two trillion, two hundred billion, two hundred twenty million, ten thousand, one".

Divisors: 1 13 73 137 227 949 1781 2951 10001 16571 31099 74551 130013 215423 404287 969163 2270227 5442223 10213487 16923077 29512951 70748899 132775331 220000001 745584551 1235384621 2318461549 9692599163 16060000073 30140000137 169247693077 2200220010001