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314212303212413 is a prime number
BaseRepresentation
bin100011101110001100100000…
…0101101111000111101111101
31112012112101212122211011200212
41013130121000231320331331
5312141023244110244123
63032135050034002205
7123120042534520454
oct10734310055707575
91465471778734625
10314212303212413
1191132764735951
122b2a8548716365
1310643129593778
145783d56d71b9b
15264d5b2d97878
hex11dc640b78f7d

314212303212413 has 2 divisors, whose sum is σ = 314212303212414. Its totient is φ = 314212303212412.

The previous prime is 314212303212403. The next prime is 314212303212443.

314212303212413 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202701195358489 + 111511107853924 = 14237317^2 + 10559882^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 314212303212413 - 26 = 314212303212349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314212303212413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314212303212403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157106151606206 + 157106151606207.

It is an arithmetic number, because the mean of its divisors is an integer number (157106151606207).

Almost surely, 2314212303212413 is an apocalyptic number.

It is an amenable number.

314212303212413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314212303212413 is an equidigital number, since it uses as much as digits as its factorization.

314212303212413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31421230 and 3212413, that added together give a palindrome (34633643).

The spelling of 314212303212413 in words is "three hundred fourteen trillion, two hundred twelve billion, three hundred three million, two hundred twelve thousand, four hundred thirteen".