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2220126213001 = 15787716699661
BaseRepresentation
bin100000010011101001110…
…101011001001110001001
321212020112102011002101211
4200103221311121032021
5242333304302304001
64415524545413121
7316253540304634
oct40235165311611
97766472132354
102220126213001
11786606406774
122ba33793a1a1
1313148444c008
147965190cc1b
153cb3d2ee351
hex204e9d59389

2220126213001 has 16 divisors (see below), whose sum is σ = 2238386650960. Its totient is φ = 2201921729280.

The previous prime is 2220126212987. The next prime is 2220126213089. The reversal of 2220126213001 is 1003126210222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 177582174025 + 2042544038976 = 421405^2 + 1429176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220126213001 - 213 = 2220126204809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220126213301) 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 15 ways as a sum of consecutive naturals, for example, 229798111 + ... + 229807771.

It is an arithmetic number, because the mean of its divisors is an integer number (139899165685).

Almost surely, 22220126213001 is an apocalyptic number.

It is an amenable number.

2220126213001 is a deficient number, since it is larger than the sum of its proper divisors (18260437959).

2220126213001 is a wasteful number, since it uses less digits than its factorization.

2220126213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 2220126213001 in words is "two trillion, two hundred twenty billion, one hundred twenty-six million, two hundred thirteen thousand, one".

Divisors: 1 157 877 1669 9661 137689 262033 1463713 1516777 8472697 16124209 229802941 1330213429 2531500813 14140931293 2220126213001