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2623201105331 is a prime number
BaseRepresentation
bin100110001011000010111…
…110000101010110110011
3100021202221101200011200202
4212023002332011112303
5320434303440332311
65325025411305415
7360343240332422
oct46130276052663
910252841604622
102623201105331
119215477011a4
123644888ab26b
1316049cb34171
1490d6c2112b9
154837eb31e3b
hex262c2f855b3

2623201105331 has 2 divisors, whose sum is σ = 2623201105332. Its totient is φ = 2623201105330.

The previous prime is 2623201105321. The next prime is 2623201105337. The reversal of 2623201105331 is 1335011023262.

It is a happy number.

2623201105331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2623201105331 is a prime.

It is a super-2 number, since 2×26232011053312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2623201105294 and 2623201105303.

It is not a weakly prime, because it can be changed into another prime (2623201105337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1311600552665 + 1311600552666.

It is an arithmetic number, because the mean of its divisors is an integer number (1311600552666).

Almost surely, 22623201105331 is an apocalyptic number.

2623201105331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2623201105331 is an equidigital number, since it uses as much as digits as its factorization.

2623201105331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 2623201105331 its reverse (1335011023262), we get a palindrome (3958212128593).

The spelling of 2623201105331 in words is "two trillion, six hundred twenty-three billion, two hundred one million, one hundred five thousand, three hundred thirty-one".