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312203001221 is a prime number
BaseRepresentation
bin1001000101100001011…
…11111011110110000101
31002211211222000201102022
410202300233323312011
520103342432014341
6355231333452525
731361452503356
oct4426057736605
91084758021368
10312203001221
1111044a500781
12506101a1145
132359605b7a7
1411179ac3d2d
1581c3b7ce4b
hex48b0bfbd85

312203001221 has 2 divisors, whose sum is σ = 312203001222. Its totient is φ = 312203001220.

The previous prime is 312203001161. The next prime is 312203001251. The reversal of 312203001221 is 122100302213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180752522500 + 131450478721 = 425150^2 + 362561^2 .

It is an emirp because it is prime and its reverse (122100302213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312203001221 - 218 = 312202739077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312203001221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312203001251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101500610 + 156101500611.

It is an arithmetic number, because the mean of its divisors is an integer number (156101500611).

Almost surely, 2312203001221 is an apocalyptic number.

It is an amenable number.

312203001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312203001221 is an equidigital number, since it uses as much as digits as its factorization.

312203001221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312203001221 its reverse (122100302213), we get a palindrome (434303303434).

The spelling of 312203001221 in words is "three hundred twelve billion, two hundred three million, one thousand, two hundred twenty-one".