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312033213221 is a prime number
BaseRepresentation
bin1001000101001101010…
…00001111101100100101
31002211102010112121001212
410202212220033230211
520103021000310341
6355202430401205
731354321356542
oct4424650175445
91084363477055
10312033213221
11110372683514
1250583360205
1323569b21b12
1411161327bc9
1581b3ce05eb
hex48a6a0fb25

312033213221 has 2 divisors, whose sum is σ = 312033213222. Its totient is φ = 312033213220.

The previous prime is 312033213209. The next prime is 312033213253. The reversal of 312033213221 is 122312330213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296060044996 + 15973168225 = 544114^2 + 126385^2 .

It is an emirp because it is prime and its reverse (122312330213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312033213221 - 214 = 312033196837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312033219221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016606610 + 156016606611.

It is an arithmetic number, because the mean of its divisors is an integer number (156016606611).

Almost surely, 2312033213221 is an apocalyptic number.

It is an amenable number.

312033213221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033213221 is an equidigital number, since it uses as much as digits as its factorization.

312033213221 is an evil number, because the sum of its binary digits is even.

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

Adding to 312033213221 its reverse (122312330213), we get a palindrome (434345543434).

The spelling of 312033213221 in words is "three hundred twelve billion, thirty-three million, two hundred thirteen thousand, two hundred twenty-one".