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312210132301 is a prime number
BaseRepresentation
bin1001000101100010010…
…11001000110101001101
31002211212110110000102101
410202301023020311031
520103401243213201
6355232150355101
731361600223604
oct4426113106515
91084773400371
10312210132301
11110453531431
125061265ba91
1323597687572
141117aa1ca3b
1581c45dad01
hex48b12c8d4d

312210132301 has 2 divisors, whose sum is σ = 312210132302. Its totient is φ = 312210132300.

The previous prime is 312210132281. The next prime is 312210132323. The reversal of 312210132301 is 103231012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296447580900 + 15762551401 = 544470^2 + 125549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312210132301 is a prime.

It is a super-2 number, since 2×3122101323012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312210132371) 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, 156105066150 + 156105066151.

It is an arithmetic number, because the mean of its divisors is an integer number (156105066151).

Almost surely, 2312210132301 is an apocalyptic number.

It is an amenable number.

312210132301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210132301 is an equidigital number, since it uses as much as digits as its factorization.

312210132301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312210132301 its reverse (103231012213), we get a palindrome (415441144514).

The spelling of 312210132301 in words is "three hundred twelve billion, two hundred ten million, one hundred thirty-two thousand, three hundred one".