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2220345441041 = 71324599922489
BaseRepresentation
bin100000010011110110111…
…001101011101100010001
321212021002200200000201212
4200103312321223230101
5242334231413103131
64420002420305505
7316262141564510
oct40236671535421
97767080600655
102220345441041
11786709131a72
122ba399242295
131314ba9a9250
1479672a98677
153cb526a5a2b
hex204f6e6bb11

2220345441041 has 16 divisors (see below), whose sum is σ = 2733844444800. Its totient is φ = 1756042236288.

The previous prime is 2220345440993. The next prime is 2220345441121. The reversal of 2220345441041 is 1401445430222.

2220345441041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2220345441041 - 26 = 2220345440977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220345440989 and 2220345441007.

It is not an unprimeable number, because it can be changed into a prime (2220345441241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4737476 + ... + 5185013.

It is an arithmetic number, because the mean of its divisors is an integer number (170865277800).

Almost surely, 22220345441041 is an apocalyptic number.

It is an amenable number.

2220345441041 is a deficient number, since it is larger than the sum of its proper divisors (513499003759).

2220345441041 is a wasteful number, since it uses less digits than its factorization.

2220345441041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9924968.

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 2220345441041 in words is "two trillion, two hundred twenty billion, three hundred forty-five million, four hundred forty-one thousand, forty-one".

Divisors: 1 7 13 91 2459 17213 31967 223769 9922489 69457423 128992357 902946499 24399400451 170795803157 317192205863 2220345441041