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312003119971 is a prime number
BaseRepresentation
bin1001000101001001101…
…01011100101101100011
31002211100000220200220001
410202210311130231203
520102440244314341
6355155433400431
731353504522244
oct4424465345543
91084300820801
10312003119971
11110357699a64
1250575269117
132356381656a
141115b332ccb
1581b1348d31
hex48a4d5cb63

312003119971 has 2 divisors, whose sum is σ = 312003119972. Its totient is φ = 312003119970.

The previous prime is 312003119929. The next prime is 312003120031. The reversal of 312003119971 is 179911300213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312003119971 - 225 = 311969565539 is a prime.

It is a super-4 number, since 4×3120031199714 (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312003119971.

It is not a weakly prime, because it can be changed into another prime (312003119171) 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, 156001559985 + 156001559986.

It is an arithmetic number, because the mean of its divisors is an integer number (156001559986).

Almost surely, 2312003119971 is an apocalyptic number.

312003119971 is a deficient number, since it is larger than the sum of its proper divisors (1).

312003119971 is an equidigital number, since it uses as much as digits as its factorization.

312003119971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 37.

The spelling of 312003119971 in words is "three hundred twelve billion, three million, one hundred nineteen thousand, nine hundred seventy-one".