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2220233211073 is a prime number
BaseRepresentation
bin100000010011110000001…
…101100011110011000001
321212020210212111011011101
4200103300031203303001
5242334014200223243
64415543331014401
7316256306624443
oct40236015436301
97766725434141
102220233211073
11786660847a29
122ba36773a401
131314a0672b97
1479661c02493
153cb478d754d
hex204f0363cc1

2220233211073 has 2 divisors, whose sum is σ = 2220233211074. Its totient is φ = 2220233211072.

The previous prime is 2220233210999. The next prime is 2220233211083. The reversal of 2220233211073 is 3701123320222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1324138106944 + 896095104129 = 1150712^2 + 946623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220233211073 is a prime.

It is a super-3 number, since 3×22202332110733 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2220233211083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110116605536 + 1110116605537.

It is an arithmetic number, because the mean of its divisors is an integer number (1110116605537).

Almost surely, 22220233211073 is an apocalyptic number.

It is an amenable number.

2220233211073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220233211073 is an equidigital number, since it uses as much as digits as its factorization.

2220233211073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 2220233211073 its reverse (3701123320222), we get a palindrome (5921356531295).

The spelling of 2220233211073 in words is "two trillion, two hundred twenty billion, two hundred thirty-three million, two hundred eleven thousand, seventy-three".