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2122232221331 is a prime number
BaseRepresentation
bin11110111000011110111…
…001011100111010010011
321111212212000100001110122
4132320132321130322103
5234232312422040311
64302535013420455
7306216615146255
oct36703671347223
97455760301418
102122232221331
11749040842922
122a337733a72b
13125183052161
1474a0645dcd5
153a30de170db
hex1ee1ee5ce93

2122232221331 has 2 divisors, whose sum is σ = 2122232221332. Its totient is φ = 2122232221330.

The previous prime is 2122232221301. The next prime is 2122232221339. The reversal of 2122232221331 is 1331222322212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122232221331 is a prime.

It is a super-2 number, since 2×21222322213312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122232221331.

It is not a weakly prime, because it can be changed into another prime (2122232221339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061116110665 + 1061116110666.

It is an arithmetic number, because the mean of its divisors is an integer number (1061116110666).

Almost surely, 22122232221331 is an apocalyptic number.

2122232221331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122232221331 is an equidigital number, since it uses as much as digits as its factorization.

2122232221331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 26.

Adding to 2122232221331 its reverse (1331222322212), we get a palindrome (3453454543543).

The spelling of 2122232221331 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred thirty-one".