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311404230222257 is a prime number
BaseRepresentation
bin100011011001110000111001…
…0100001100010000110110001
31111211120221202020002012011202
41012303201302201202012301
5311304021330414103012
63022145043424220545
7122410133060111054
oct10663416241420661
91454527666065152
10311404230222257
119024a87973a387
122ab1428676a755
131049b3a66950a3
1456c808bcd2a9b
152600512eb0cc2
hex11b38728621b1

311404230222257 has 2 divisors, whose sum is σ = 311404230222258. Its totient is φ = 311404230222256.

The previous prime is 311404230222167. The next prime is 311404230222271. The reversal of 311404230222257 is 752222032404113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174246309657121 + 137157920565136 = 13200239^2 + 11711444^2 .

It is a cyclic number.

It is not a de Polignac number, because 311404230222257 - 210 = 311404230221233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311404230222257.

It is not a weakly prime, because it can be changed into another prime (311404238222257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155702115111128 + 155702115111129.

It is an arithmetic number, because the mean of its divisors is an integer number (155702115111129).

Almost surely, 2311404230222257 is an apocalyptic number.

It is an amenable number.

311404230222257 is a deficient number, since it is larger than the sum of its proper divisors (1).

311404230222257 is an equidigital number, since it uses as much as digits as its factorization.

311404230222257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 311404230222257 in words is "three hundred eleven trillion, four hundred four billion, two hundred thirty million, two hundred twenty-two thousand, two hundred fifty-seven".