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312204002377 is a prime number
BaseRepresentation
bin1001000101100001100…
…11110000010001001001
31002211212000220120202011
410202300303300101021
520103343211034002
6355231411135521
731361464143241
oct4426063602111
91084760816664
10312204002377
11110450024983
12506105a45a1
132359631c3a7
1411179ca4b21
1581c3cc98d7
hex48b0cf0449

312204002377 has 2 divisors, whose sum is σ = 312204002378. Its totient is φ = 312204002376.

The previous prime is 312204002359. The next prime is 312204002483. The reversal of 312204002377 is 773200402213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169039388736 + 143164613641 = 411144^2 + 378371^2 .

It is an emirp because it is prime and its reverse (773200402213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312204002377 is a prime.

It is a super-3 number, since 3×3122040023773 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (312204002317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156102001188 + 156102001189.

It is an arithmetic number, because the mean of its divisors is an integer number (156102001189).

Almost surely, 2312204002377 is an apocalyptic number.

It is an amenable number.

312204002377 is a deficient number, since it is larger than the sum of its proper divisors (1).

312204002377 is an equidigital number, since it uses as much as digits as its factorization.

312204002377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 312204002377 in words is "three hundred twelve billion, two hundred four million, two thousand, three hundred seventy-seven".