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2232123310301 is a prime number
BaseRepresentation
bin100000011110110100111…
…010101100000011011101
321220101111111210202222212
4200132310322230003131
5243032342031412201
64425231233050205
7320160045041663
oct40366472540335
97811444722885
102232123310301
11790702465515
123007256b6965
13132646b08561
147a06cdb2c33
153d0e1699abb
hex207b4eac0dd

2232123310301 has 2 divisors, whose sum is σ = 2232123310302. Its totient is φ = 2232123310300.

The previous prime is 2232123310283. The next prime is 2232123310327. The reversal of 2232123310301 is 1030133212322.

2232123310301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1466760787801 + 765362522500 = 1211099^2 + 874850^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232123310301 - 230 = 2231049568477 is a prime.

It is a super-3 number, since 3×22321233103013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232123310331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116061655150 + 1116061655151.

It is an arithmetic number, because the mean of its divisors is an integer number (1116061655151).

Almost surely, 22232123310301 is an apocalyptic number.

It is an amenable number.

2232123310301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232123310301 is an equidigital number, since it uses as much as digits as its factorization.

2232123310301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2232123310301 its reverse (1030133212322), we get a palindrome (3262256522623).

The spelling of 2232123310301 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-three million, three hundred ten thousand, three hundred one".