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312032204223221 is a prime number
BaseRepresentation
bin100011011110010101010100…
…0101100001111001011110101
31111220210222122210221201211202
41012330222220230033023311
5311344313423240120341
63023345340554342245
7122503403622050156
oct10674525054171365
91456728583851752
10312032204223221
1190472129691939
122abb5b21a2a985
1310515683a39491
14570a6214b992d
152611a18b5b79b
hex11bcaa8b0f2f5

312032204223221 has 2 divisors, whose sum is σ = 312032204223222. Its totient is φ = 312032204223220.

The previous prime is 312032204223139. The next prime is 312032204223227. The reversal of 312032204223221 is 122322402230213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302600463022225 + 9431741200996 = 17395415^2 + 3071114^2 .

It is an emirp because it is prime and its reverse (122322402230213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312032204223221 - 242 = 307634157712117 is a prime.

It is a super-2 number, since 2×3120322042232212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312032204223227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016102111610 + 156016102111611.

It is an arithmetic number, because the mean of its divisors is an integer number (156016102111611).

Almost surely, 2312032204223221 is an apocalyptic number.

It is an amenable number.

312032204223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312032204223221 is an equidigital number, since it uses as much as digits as its factorization.

312032204223221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 312032204223221 its reverse (122322402230213), we get a palindrome (434354606453434).

The spelling of 312032204223221 in words is "three hundred twelve trillion, thirty-two billion, two hundred four million, two hundred twenty-three thousand, two hundred twenty-one".