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311367472417 is a prime number
BaseRepresentation
bin1001000011111101111…
…00101001010100100001
31002202200201211110101001
410201332330221110201
520100140033104132
6355012405312001
731331655563341
oct4417674512441
91082621743331
10311367472417
11110060903601
1250418405601
1323491c19251
14110dab4ad21
158175638ce7
hex487ef29521

311367472417 has 2 divisors, whose sum is σ = 311367472418. Its totient is φ = 311367472416.

The previous prime is 311367472363. The next prime is 311367472421. The reversal of 311367472417 is 714274763113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246920541921 + 64446930496 = 496911^2 + 253864^2 .

It is a cyclic number.

It is not a de Polignac number, because 311367472417 - 219 = 311366948129 is a prime.

It is not a weakly prime, because it can be changed into another prime (311367475417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155683736208 + 155683736209.

It is an arithmetic number, because the mean of its divisors is an integer number (155683736209).

Almost surely, 2311367472417 is an apocalyptic number.

It is an amenable number.

311367472417 is a deficient number, since it is larger than the sum of its proper divisors (1).

311367472417 is an equidigital number, since it uses as much as digits as its factorization.

311367472417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 592704, while the sum is 46.

The spelling of 311367472417 in words is "three hundred eleven billion, three hundred sixty-seven million, four hundred seventy-two thousand, four hundred seventeen".