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312301011441 = 31927091202243
BaseRepresentation
bin1001000101101101001…
…01110100000111110001
31002212002210110011011110
410202312211310013301
520104043024331231
6355245154303533
731364052540426
oct4426645640761
91085083404143
10312301011441
1111049a863261
1250638b87ba9
13235b04566c3
1411188b17d4d
1581cc58d046
hex48b69741f1

312301011441 has 16 divisors (see below), whose sum is σ = 438335555840. Its totient is φ = 197234488080.

The previous prime is 312301011439. The next prime is 312301011443. The reversal of 312301011441 is 144110103213.

It is an interprime number because it is at equal distance from previous prime (312301011439) and next prime (312301011443).

It is not a de Polignac number, because 312301011441 - 21 = 312301011439 is a prime.

It is a super-2 number, since 2×3123010114412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312301011443) 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 in 15 ways as a sum of consecutive naturals, for example, 1443066 + ... + 1645308.

It is an arithmetic number, because the mean of its divisors is an integer number (27395972240).

Almost surely, 2312301011441 is an apocalyptic number.

It is an amenable number.

312301011441 is a deficient number, since it is larger than the sum of its proper divisors (126034544399).

312301011441 is a wasteful number, since it uses less digits than its factorization.

312301011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229356.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 312301011441 its reverse (144110103213), we get a palindrome (456411114654).

The spelling of 312301011441 in words is "three hundred twelve billion, three hundred one million, eleven thousand, four hundred forty-one".

Divisors: 1 3 19 57 27091 81273 202243 514729 606729 1544187 3842617 11527851 5478965113 16436895339 104100337147 312301011441