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2232000231313 is a prime number
BaseRepresentation
bin100000011110101101100…
…101001011011110010001
321220101011221012201100211
4200132231211023132101
5243032114024400223
64425211115044121
7320154021635056
oct40365545133621
97811157181324
102232000231313
11790649a40446
123006b0440641
13132627474058
147a05a8d502d
153d0d5986d0d
hex207ad94b791

2232000231313 has 2 divisors, whose sum is σ = 2232000231314. Its totient is φ = 2232000231312.

The previous prime is 2232000231287. The next prime is 2232000231323. The reversal of 2232000231313 is 3131320002322.

2232000231313 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 can be written as a sum of positive squares in only one way, i.e., 1342207980369 + 889792250944 = 1158537^2 + 943288^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232000231313 - 221 = 2231998134161 is a prime.

It is a super-3 number, since 3×22320002313133 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232000231323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116000115656 + 1116000115657.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000115657).

Almost surely, 22232000231313 is an apocalyptic number.

It is an amenable number.

2232000231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232000231313 is an equidigital number, since it uses as much as digits as its factorization.

2232000231313 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 22.

Adding to 2232000231313 its reverse (3131320002322), we get a palindrome (5363320233635).

The spelling of 2232000231313 in words is "two trillion, two hundred thirty-two billion, two hundred thirty-one thousand, three hundred thirteen".