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303101112133 is a prime number
BaseRepresentation
bin1000110100100100011…
…10111110111101000101
31001222100122012211212001
410122102032332331011
514431222341042013
6351124232425301
730620061641521
oct4322216767505
91058318184761
10303101112133
111075a9748796
124a8abb48231
1322775455bc1
1410954d48d81
157d3ea76ddd
hex46923bef45

303101112133 has 2 divisors, whose sum is σ = 303101112134. Its totient is φ = 303101112132.

The previous prime is 303101112131. The next prime is 303101112157. The reversal of 303101112133 is 331211101303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301135342564 + 1965769569 = 548758^2 + 44337^2 .

It is a cyclic number.

It is not a de Polignac number, because 303101112133 - 21 = 303101112131 is a prime.

It is a super-2 number, since 2×3031011121332 (a number of 24 digits) contains 22 as substring.

Together with 303101112131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 303101112133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (303101112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151550556066 + 151550556067.

It is an arithmetic number, because the mean of its divisors is an integer number (151550556067).

Almost surely, 2303101112133 is an apocalyptic number.

It is an amenable number.

303101112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

303101112133 is an equidigital number, since it uses as much as digits as its factorization.

303101112133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 303101112133 its reverse (331211101303), we get a palindrome (634312213436).

The spelling of 303101112133 in words is "three hundred three billion, one hundred one million, one hundred twelve thousand, one hundred thirty-three".